What is the volume, in cubic inches, of a cone that has a radius of 8 inches and a height of 12 inches? Use 3.14 for π , and round to the nearest hundredth. if you answer this WITH NO LINK I will give extra points!

Answers

Answer 1

Answer:

803.84 in^3

Step-by-step explanation:

First of all we have to find the base area

base area = radius^2 x 3.14 = 8^2 x 3.14 = 64 x 3.14 = 200,96 in^2

the volume can be find with this formula:

V = (base area x height)/3

V = (200.96 x 12)/3 = 803.84 in^3


Related Questions

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP

Answers

Step-by-step explanation:

use pythagoras theorem

a squared +b squared =c squared

4.12 squared +8 squared =x squared

16.9744+64=x squared

take the square root of 80.9744

x=9

a^2 + b^2 = c^2
8^2 + radical 17^2 = c^2
64 + 17 = c^2
81 = c^2
9 = c
the answer is 9

What is the area of the triangle?

Answers

I think it is 30 !!!!!!!!!!!!!

Answer:

30 units²

Step-by-step explanation:

a=1/2 ×length × width

a=1/2 × 12 ×5

a=6×5

a=30units squared

Aubrey is going to invest $160 and leave it in an account for 7 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Aubrey to end up with $220?

Answers

Answer:

4.5%

Step-by-step explanation:

compound interest formula:

[tex]PV(1+\frac{i}{n})^{t*n}[/tex]

[tex]220=160(1+\frac{x}{365})^{365*7}\\\\1.375=(1+\frac{x}{365})^{2555}\\1.0001246=1+\frac{x}{365}\\x=.0454962254126[/tex]

this rounds to

x=4.5%

Aubrey would need an interest rate of 6.3%.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

A = P [tex](1 + r/n)^{nt}[/tex]

A = the final amount (in this case, $220)

P = the initial investment (in this case, $160)

r = the interest rate (what we are trying to find)

n = the number of times the interest is compounded per year (since it's compounded daily, n = 365)

t = the time period (in years, in this case, 7)

Substituting in the given values and solving for r:

220 = 160(1 + r/365)^(3657)

220/160 = (1 + r/365)^(3657)

1.375 = (1 + r/365)^2555

ln(1.375) = 2555 ln(1 + r/365)

ln(1 + r/365) = ln(1.375)/2555

1 + r/365 = e^(ln(1.375)/2555)

r/365 = e^(ln(1.375)/2555) - 1

r = 365(e^(ln(1.375)/2555) - 1)

r ≈ 6.3%

Therefore,

Aubrey would need an interest rate of 6.3%.

Learn more about compound interest here:

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The length of one edge of a cube is 3 units. What is the volume of this cube in cubic units

Answers

Answer:

27 cubic units

Step-by-step explanation:

A cube has equal dimensions. So the volume is 3units × 3units × 3units or 27cubic units

The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile ....

Answers

The question is incomplete. The complete question is :

The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile and c is measured in miles. What are the units of [tex]$\int_0^7 r(c) \ dc$[/tex]   ?

Solution :

The given continuous function is :

r(c), here c is measured in miles and the unit of r is measured in gallons per mile.

So the unit of  [tex]$\int_0^7 r(c) \ dc$[/tex] is given by :

= gallons per mile x mile

= gallons

So, the final unit is gallons.

Hannah decided to curl up and read a good book. She started reading at 10:00 a.m. and
finished reading at 11:43 a.m. How much time did she spend reading?

Answers

Answer:

she spend one hour and 43 minutes reading

Step-by-step explanation:

hope you have a great day kee learning

girlcome 5324611502
p:here​

Answers

Answer:

what

Step-by-step explanation:

Answer:

im confused

Step-by-step explanation:

Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours. The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is ________.

Answers

Answer:

The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is

contained by the interval (0.54 , 5.18)

Step-by-step explanation:

Given that:

for women

sample size  = n₁ = 16

sample mean [tex](\bar X_1)[/tex] = 24.75

standard deviation s₁ = 2.84

for men

sample size for men = n₂ = 7

sample mean [tex](\bar X_2)[/tex] = 21.89

standard deviation s₂ = 3.29

degree of freedom = [tex](n_1 + n_2 )-2[/tex]

= 16 + 7 -2

= 21

The critical value for [tex]\alpha = 0.1 \ and \ df \ of \ 21 \ is :[/tex]

[tex]t_{0.005;21}= 1.721[/tex]

The pooled standard deviation can be calculated as follows since the population variances are assumed to be equivalent.

[tex]s_p = \sqrt{\dfrac{(n_1 -1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}[/tex]

[tex]s_p = \sqrt{\dfrac{(16 -1)2.84^2+(7-1)3.29^2}{16+7-2}}[/tex]

[tex]s_p = \sqrt{\dfrac{(15)8.0656+(6)10.8241}{21}}[/tex]

[tex]s_p = 2.976[/tex]

The standard error is estimated as follow:

[tex]se = s_p\sqrt{\dfrac{1}{n_1} + \dfrac{1}{n_2}}[/tex]

[tex]se = 2.976\sqrt{\dfrac{1}{16} + \dfrac{1}{7}}[/tex]

se = 1.348

Finally, the confidence interval [tex]C.I = ( x_1 -x_2 -t_c \times se \ \ ; \ \ x_1-x_2 +t_c \times se)[/tex]

[tex]=(24.75 - 21.89 -1.721 \times 1.348 \ \ , \ \ 2475 - 21.89 + 1.721 \times 1.348) \\ \\ \mathbf{ = (0.54 \ \ , \ \ 5.18)}[/tex]

Sara reduced the time it takes her to run a mile from 12 minutes to 8 minutes. Which is closest to Sara's percent decrease in the time it takes her to run a mile?​

Answers

Answer:

33%

Step-by-step explanation:

please hurry will mark brainiest

Answers

Answer:

Step-by-step explanation:

x(x+8) = 450

x² + 8x - 450 = 0

Quadratic formula:

x = [-8±√(8²-4(1)(-450))]/[2(1)]

= [-8±2√466]/2

= -4±√466

≅ 17.59, -25.59

-25.59 is an extraneous solution, so x ≅ 17.6 inches.

The dimensions of the blackboard are 17.59 inches by 25.59 inches  

Victoria has a jewelry box shaped like a rectangular prism! Please help!!

Answers

Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

The graphs below have the same shape. Complete the equation of the red
graph.

Answers

Answer:

Step-by-step explanation:

F(x) = 2 - x²

I need help please. I don’t know this

Answers

Answer:

y = 1x + 6

Step-by-step explanation:

y = mx + b is the formula we need to use. b is the y intercept which is clearly 6 on the graph. Then we need to use rise over run to find our m. We can see for every x value that increases by 1, y also increases at 1. This means our x is 1.

Answer:

(0,6) ,(4,10)

y=(10-6)/×=(4-0)

4/4= 1

Select all that apply.

Which two rays form ∠ACB?

1. CA
2. AC
3. CB
4. CE

Answers

Answer:

The 2 rays the form ACB ARE AC and CB

The hypotenuse in this 45-45-90 triangle is given. How would you find the length of a leg
of the triangle?
8 V2
45degrees

Answers

Answer:

The length of the legs of the triangle is 8 units.

Step-by-step explanation:

45-45-90 triangle

A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:

[tex]2l^2 = h^2[/tex]

Hypothenuse of 8 V2

This means that [tex]h = 8\sqrt{2}[/tex]

So

[tex]2l^2 = h^2[/tex]

[tex]2l^2 = (8\sqrt{2})^2[/tex]

[tex]2l^2 = 64*2[/tex]

[tex]l^2 = 64[/tex]

[tex]l = \sqrt{64}[/tex]

[tex]l = 8[/tex]

The length of the legs of the triangle is 8 units.

the sum of two consecutive odd number is 108. find the smaller number​

Answers

9514 1404 393

Answer:

  53

Step-by-step explanation:

Their average is the sum divided by 2: 108/2 = 54. This average is the even number between the two odd numbers of interest.

The smaller number is 53.

Please help! Answer and explanation please!

Answers

Answer:

B. 36π in²

Step-by-step explanation:

Given:

Volume = 54π in³

height (h) = 6 in.

Required:

Curved surface area of the can (area for the label needed to wrap around the can without overlapping)

Solution:

First, we need to find the radius (r) of the can.

Volume = πr²h

Plug in the given values and solve for r

54π = π*r²*6

54π = 6π*r²

54π/6π = r²

9 = r²

r = √9

r = 3 in

✔️Find the curved surface area:

Curved surface area = 2πrh

r = 3 in

h = 6 in

Plug in the values

C.S.A = 2*π*3*6

C.S.A = 36π in²

Mr. adhakari deposited a sum of RS 2400 in a bank at 5% per year simple interest. how much interest would he get at the end of 4 year ?​

Answers

Answer:

Mr. adhakari deposited a sum of RS 2400 in a bank at 5% per year simple interest. how much interest would he get at the end of 4 year ?​ - 480 rs

What is the remainder when P(x)=2x3-3x2-5x-6 is divided by (x-3)

Answers

Answer:

remainder = 6

Step-by-step explanation:

Hope it helps.....

Find the solution set of the inequality:

82 + 2 > 34

SOMEONE PLS HELP

Answers

Answer:

82+2>34

84>34

True

I hope this helps :)

please help!!!!!!!!!!!!

Answers

Answer:

h = 2 ft

Step-by-step explanation:

V = lwh

144 = (9)*(8)*(h)

144 = (72)*h

h = 144/72

h = 2 ft

Which graph represents the solution set of the following situation? Andrew is buying fruit for a fruit salad. Bananas cost $1 a pound and oranges cost $2 a pound. He plans to buy at least 10 pounds of fruit and spend no more than $20. Let x represent pounds of bananas and let y represent pounds of oranges..

Answers

Answer:

[tex]x + y \ge 10[/tex]

[tex]x + 2y \le 20[/tex]

Step-by-step explanation:

The question is incomplete as the graphs are not shown. So, I will derive the inequalities and plot the graph.

Given

[tex]Banana = \$1[/tex]

[tex]Orange = \$ 2[/tex]

[tex]Purchase = 10lb[/tex] --- At least

[tex]Spedings = \$20[/tex] --- Not more than

And we have:

[tex]x = Banana; y = Orange[/tex]

The number of purchase will be represented as:

[tex]x + y \ge Purchase[/tex] ---- (at least)

[tex]x + y \ge 10[/tex]

The amount spent will be represented as;

[tex]1 * x + 2 * y \le 20[/tex] --- (not more than)

[tex]x + 2y \le 20[/tex]

So, the inequalities are:

[tex]x + y \ge 10[/tex]

[tex]x + 2y \le 20[/tex]

See attachment for graph

Help, please will put brainiest 20 ponits

Answers

Answer:

15

Step-by-step explanation:

you would first have to put the numbers into this equation

180=(6x-8)+38+60

now you have to solve for x

180=(6x-8)+98

82=6x-8

100=6x

15=x

x=15

hope this helps! have a nice day :)

Answer:

its c

Step-by-step explanation:

because every angle in a acute triangle has to be less than 90 and the other two look bigger than angle x

What is the equation of the following line written in slope-intercept form?
y = -5x
y = 5x
y = 5/x

Answers

The equation is y=5x

Answer:

y=5x

Step-by-step explanation:

first, we know that a rising line's slope is always positive, so the first one is incorrect

let's figure out the slope: y-y'/x-x' is the formula.

now, -5-5/-1-1= -10/-2= 5. so the slope of this line is 5.

Please help! Needed ASAP!

Answers

Answer:

1 bagel $3.5

1muffin $1.25

1ticket$9

1snack$2

Step-by-step explanation:

miffin(y)

bagel(x)

x+3y=7.25

x+2y=6

since x is similar in both equations you cancel it out

subtract this

3y=7.25

2y=6

y=$1.25(price for 1 muffin)since we had 3 muffins it will be 1.25×3=7.25,where you do 7.25 to get 3.5 (price for 1 bagel)

question 8:ticket(x)

snack(y)

2x+3y=24×3

3x+4y=35×2

×3 and ×2 so we can eliminate the x

6x+9y=72

6x+8y=70

eliminate x

y=2

so snack is $2

2x+(3×2)=24

24-6=18

18÷2x=9

so a ticket is $9

answer and show proof for brainliest

Answers

i'm confused don't all of them explain pls

Answer:

The answer is A

Step-by-step explanation:

A closed circle means the number is included in the equation / solution. An open circle means it is not. The problem says greater than or equal to 36 inches tall which means that circle should be closed. And less than 48 inches. It does not say anything about being equal when it states the 48 inches so that one should be open.

Find the surface area of the figure. Round to the nearest tenth.
WILL MARK BRAINLIEST!!! PLS HELP THIS IS DUE IN 10 MIN AND PLEASE NO DROP FILES!! :)

Answers

Answer:

14 x 6.9 x 8 = 56

Step-by-step explanation:

A circle passes through the points (3,2) and (7,2) and has radius 2√2. Find the two possible equations for this circle

Answers

Answer:

18 because of its addition

Step-by-step explanation:

πr²=3+2+7+2+2+2

=5+9+4

=18

the u.s. produces 5.39x 10​

Answers

The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes

How to express exponents in standard notation?

We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.

Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;

5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10

⇒ 5.39 * 10000000

⇒ 53,900,000 metric tonnes

The complete question is;

The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation

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Ruslan's figure has a length of 5cm, a width of 3cm, and a height of 4cm. What is the volume of Ruslan's figure?

Answers

Answer:

The colume of Ruslan's figure is 60 cubic centimeters.

Step-by-step explanation:

To find the volume of something, you have to multiply the length by the width, and then multiply that to the height. So you would multiply 5 and 3 to get 15, and then you would multiply 15 and 4 to which then you would get your answer of 60 cubic centimeters.

Answer:

60cm³ is your answer

Step-by-step explanation:

volume of cuboid =l×b×h=5×3×4=60cm³

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