A cone has a height of 10 millimeters and a radius of 6 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer 1

Answer:[tex]376.80\ mm^3[/tex]

Step-by-step explanation:

Given

The height of the cone is [tex]h=10\ mm[/tex]

The radius of the cone is [tex]r=6\ mm[/tex]

Volume of cone is given by

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 6^2\times 10\\\\\Rightarrow V=376.80\ mm^3[/tex]

Thus, the volume of the cone is [tex]376.80\ mm^3[/tex]


Related Questions

Each side of a square x units long is decreased by 9 units. Which expression represents the area of the new square in square units? *

Answers

Given:

Side of a square = x units

The side of square is decreased by 9 units.

To find:

The expression that represents the area of the new square in square units.

Solution:

It is given that, the side of a square is x units and it is decreased by 9 units. So, the side of new square is:

[tex]\text{New side length}=x-9[/tex]

The area of a square is:

[tex]Area=(side)^2[/tex]

So, the area of the new square is:

[tex]Area=(x-9)^2[/tex]

[tex]Area=(x)^2-2(x)(9)+(9)^2[/tex]          [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]Area=x^2-18x+81[/tex]

Therefore, the expression for the area of the new square is either [tex](x-9)^2[/tex] or [tex]x^2-18x+81[/tex], both are equivalent.

I NEED THIS BY TODAY!!

Answers

Step-by-step explanation:

[tex](1. \: x = - \frac{y}{3} [/tex]

[tex](2. \: x = \frac{22 + 3y}{2} [/tex]

I think this is correct and what you wanted

2x-3(-3x)=22
2x+9x=22
11x=22 and divide eleven on both sides leaving x=2

john walked 52 blocks in 4 hours how many blocks did john walk per hour?

Answers

Answer:

13 blocks per hour

Step-by-step explanation:

52/4=13

hope this is helpful

Answer:

13 blocks per hour

Step-by-step explanation:

52/4 = 13

He was walking really slow apparently

f(x) = - x ^ 2 + 8x - 2

Answers

Answer:

4- Square root 14, 4+ square root 14

SEE  THE IMAGE BELOW:)

Step-by-step explanation:

You can use the app photo math, you just take a picture of the problem and it will give you the answers and explain the steps:)

HELP WITH MATH TEST

Variable p is 2 less than variable d. Variable p is also 1 more than variable d. Which pair of equations best models the relationship between p and d? (5 points)

a
p = d + 2
p = d − 1

b
p = d − 2
p = d + 1

c
d = 2p
d = 2p − 1

d
d = 2p
d = 2p + 1

Answers

Answer:

b)

p = d − 2

p = d + 1

Step-by-step explanation:

From the above question:

Interpreting the statement above to form algebraic expressions, we have:

Variable p is 2 less than variable d.

Less than means to subtract in this context

p = d - 2

Variable p is also 1 more than variable d

More than means to add in this context

p = d + 1

Therefore, the pair of equations tha best models the relationship between p and d is Option b :

p = d − 2

p = d + 1

Isabel is buying framing to go around the perimeter of one of her paintings. Each inch of framing costs $0.40. What is the total cost of the framing for the pantings

Answers

I have added the complete question. That is in the attachment

Answer:

$13.2

Step-by-step explanation:

Cost of 1 inch = $0.4

Perimeter of painting is same as perimeter of a rectangle since painting is a rectangle

Perimeter = 2(l+b)

L = 10¼

B = 6¼

P = 2(10¼ + 6¼)

P = 2(41/4 + 25/4)

P = 2(10.25 + 6.25)

P = 2(16.5)

P = 33

Total cost of framing

= 0.4 x 33

= $13.2

The Seventh Inning Stretch Company has created a new baseball that will improve your chances of hitting a home run. The 36-inch bat is only available online. To protect the bat, it must be shipped so the handle of the bat is in one corner of the box and the top portion of the bat touches the opposite diagonal corner.The shipping box has a length of 30 inches and a height of 6 inches. How wide should the box be to fit the 36-inch bat? Show and explain your work.

Answers

Answer:

Width of the box = 18.97 inches

Step-by-step explanation:

Length of the bat = 36 inches.

That means length of the diagonal of the bat (BC) = 36 inches

By applying Pythagoras theorem in right triangle BDC,

BC² = BD² + CD²

BC² = (30)² + w² -------(1)

BY applying Pythagoras theorem in right triangle ABC,

AC² = AB² + BC²

(36)² = 6² + BC²

By substituting the value of BC from equation (1),

(36)² = 6² + (30)² + w²

1296 = 36 + 900 + w²

w² = 1296 - 936

w = √360

w = 18.97 inches

PLSSSSS HELP ME
Create a graph showing the equations y =1/4x and y= 1/4x+5. Explain how the graphs are the same and how they are different. x

Answers

Well, the graph of 1/4x+5 would be shifted 5 units up since the y-intercept would pass through 5. Due to the y- intercept being different, however the slope would still be the same

The graph of given equations are parallel to each other.

Given that, y =1/4x and y= 1/4x+5.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The graph of equations are parallel to each other and the line y= 1/4x+5, translated 5 units up.

Therefore, the graph of given equations are parallel to each other.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

HELP DUE IN 15 MINS!


x = ?? degrees

Answers

Answer:

VWU and FWT are vertical angles.

Their measure is same and:

VWU = 1/2(mVU + mFT)x = 1/2(174° + 52°)x = 113°

How do you calculate the Monthly Share of Annual Expenses? What would they be if the annual expenses were $27,987? (Show Your Work)

Answers

Answer:

$2332.25 per month

Step-by-step explanation:

1) The monthly share of annual expenses can be calculated from the annual expenses. Since there are 12 months in a year, the monthly share of annual expenses is gotten by dividing the annual expenses by the number of months in a year.

2) The monthly share of annual expenses is given by:

Monthly share of annual expenses = Annual expenses / 12 months

Monthly share of annual expenses = $27987 / 12 months = $2332.25 per month

Please help giving brainliest for people who explain and get it right!

Answers

Answer:

Andrew wins the round.

Step-by-step explanation:

Seeing as red is negative and black is positive, that would make the equations as follows, in the order of Abby, Ashley, Andrew, and Anna.

[tex]-9+6 = -3\\7-8 = -1\\-4+4 = 0\\-8-3 = -11[/tex]

Meaning that Andrew wins, as his sum is the highest.

Answer:

Pretty sure its Ashley, but I'm skeptical of it.

Step-by-step explanation:

-7 + 8 = 1

while all the others are negative numbers.

Find z.

What is the length of the missing leg?

b = _____ miles

Answers

Answer:

5√3

Step-by-step explanation:

tan30= 5/z

1/√3= 5/z

z= 5√3

Each backpack in a store is on sale for $5 off the original price. How does this affect the median price?​

Answers

Answer:

this would cause the median price to go down by $5 as well.

Step-by-step explanation:

If every single backpack in the store is on sale, then this would cause the median price to go down by $5 as well. This is because the median price is the middle value in a data set. Therefore, if every backpack value drops by $5 then so does the backpack that has the middle value and is the median price of all the backpacks. This is the only actual effect that this sale will have to the median price of the backpacks.

Find the value for x?

Answers

Answer:

32°

Step-by-step explanation:

[tex]64 \div 2 = 32[/tex]

Answer:

32°

Step-by-step explanation:

They are vertically opposite angles hence equal ,

> 2x = 64°

> x = 64°/2

> x = 32°

Mike owes his brother $9.55. He borrows $10.75 more from his brother. Which of the following best represents Mike's debt to his brother?

A B C D +$20.20 -$20.30 -$1.20 +$18.80​

Answers

Answer:

C - $20.30

Step-by-step explanation:

-9.55 + (-10.75) = - 20.3

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A spinner has 8 equal-sized sections. Six of the sections are green. What is the probability that the spinner will land on green?

_________ out of 8 or ________%

Answers

Answer:

6/8

Step-by-step explanation:

or to simplify it, it would be 3/4

The probability that the spinner will land on green is 6 out of 8 or 75%.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Number of equal sections on the spinner = 8

Number of sections which are green = 6

Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.

Here,

Desired outcome is the spinner landing on green.

Probability = 6/8 = 0.75 = 75%

Hence the probability is 6 out of 8 or 75%.

Learn more about Probability here :

https://brainly.com/question/29027275

#SPJ3


What is the difference between the highest percent of votes received by student in the lowest percent of votes received by a student? Round to the nearest whole number if needed.

A. 20%
B. 8%
C. 35%
D. 15%​

Answers

Answer:

A) 20%

Step-by-step explanation:

The total votes are:

40 + 70 + 60 + 90 = 260

Rebecca has the highest percent of votes which is 90 votes. To find the %:

90/260 ≈ 34.62%

Amy has the lowest percent of votes which is 40 votes.

40/260 ≈ 15.38%

Finding the difference:

34.62 - 15.38

19.24

So, it's around 20%

look at the photo. Find x

Answers

sheesh im not sure try and look it up

Find the measure of the central angle of an arc
with length 5n units and radius of 4.5 units.

Answers

Answer:

Theta = 10n/9 radians.

Step-by-step explanation:

The length is 5n units

Radius is 4.5 units

center angle is, S = r * theta

                         5n = 4.5 * theta

                       Theta = 5n/4.5

                                  = 50n/45

                                  = 10n/9


Write down the percentage multiplier used to decrease an amount by 45%

Answers

45% as a multiplier is 0.45

Choose all the zeros of the quadratic function defined by the expression 2x2 + 5x - 12

Answers

Answer:

3/2 and -4

Step-by-step explanation:

that is the answer

Find the measure of angle x.
X
x =
78°

Answers

Answer:

78°

Step-by-step explanation:

Theorem of vertical angles says that the opposite angle formed by two intersecting lines are congruent

So x = 78°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x = 78

Step-by-step explanation:

The angle labeled x and the angle with a measure of 78° are vertical angles

Vertical angles are congruent ( equal to each other )

So if "x"'s vertical angle has a measure of 78 degrees than x also has a measure of 78 degrees.

Brad and Don went to the mall together. Brad spent $18 on food. Don spent twice the amount of money that Brad spent.
a) Write an algebraic equation to express how much Don spent and solve the equation you made.
b) Brad's sister had gone to the mall the day before and spent 30% of what Don did. How much did she spend?
c) If the tax rate was 13% how much of what Don and Brad spent was for tax?

Answers

Answer:

a). x=18x2

        18x2=36

Don spent 36 dollars.

b). x=36x0.3

        36x0.3=10.8

Brad's sister spent 10 dollars and 80 cents.

c). 36+18=54

1.0-0.13 = 0.87

54x0.87=46.98

54-46.98=7.02

Don and Brad paid 7 dollars and 2 cents in tax.

The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area?

Answers

Answer:

Need a picture so someone can answer.

Answer:

Step-by-step explanation:

Sorry but i can not help you without a picture being present

Someone please help me with this, is very urgent

Answers

Answer:

1=75 Degrees

2=105 Degrees

Step-by-step explanation:

Sarah walks uphill at an average of 2 miles per hour, and downhill at an average of 4 miles per hour. She goes for a 6 mile hike up a hill, and then returns downhill by the same route. What is Sarah's average speed for the whole journey?

Answers

Answer:

48

Step-by-step explanation:

Answer:

Average of 3mph

Step-by-step explanation:

If Sarah goes uphill at 2mph and downhill at 4mph.

Then to find the average you can:

Add 2 plus 4

which equals 6

Then divide the sum of 6 by the number of values given, there are two values (2 and 4)

6 divided by 2 equals 3

So the average is 3mph

(trigonometry) solve for x

Answers

Answer:

[tex]x = 21 \sin(38 \degree) \\ x = 12.93[/tex]

Answer:  17

The more accurate value is roughly x = 16.5482258257411

=====================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411 which is approximate

x = 17

I'm rounding to the nearest whole number since the other side (21) is a whole number. If your teacher instructs you to round otherwise, then follow those instructions of course. Make sure your calculator is in degree mode.

Is (–9, 7) a solution to this system of inequalities?

x + y ≤ –7
7x − 4y > –4

Answers

Answer:

No

Step-by-step explanation:

[tex]7x-4y>-4[/tex]

[tex]7(-9)-4(7)>-4[/tex]

[tex](-63)-(28)>-4[/tex]

[tex](-91)>-4[/tex]

[tex](-9,7)[/tex] is not a solution to the system of inequality

pls answer if u do know

Answers

Answer:

√18 is irrational.

and if we put the value of π=22\7 then it is rational.otherwise we can say that4π\4 is also irrational.

Step-by-step explanation:

thank you ..

mark me as a brainlist.

Which value is a solution of the equation 8y=56?

Answers

Answer:

7

Step-by-step explanation:

If you divide 8y / 8  then you have to do the same thing to 56. When you do, y  = 7

Answer:

7

Step-by-step explanation:

I got it right on I-ready.

Hope this helps!

From: Aug1e

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