what is the exact volume of a cylinder with a radius of 7 inches and a height of 20 inches

Answers

Answer 1

Answer:

V = 3078.76 in³

Step-by-step explanation:

To find the volume of a cylinder, use this formula:

V = πr²h

V = volumer = radiush = height

Plug in the values you know.

V = π(7)²(20)

First let's evaluate the exponent.

7² = 49

V = π(49)(20)

Now let's multiply.

49 • π = 153.938

153.938 • 20 ≈ 3078.76

V = 3078.76 in³

This is your answer.

Hope this helps!


Related Questions

This system of linear inequalities can be used to find the possible heights, in inches, of Darius, d, and his brother William, w.

d ≥ 36

w < 68

d ≤ 4 + 2w

Which statements must be true about their heights? Select three options.

Darius is at least 36 inches tall.
Darius is at most 36 inches tall.
William’s height is less than 68 inches.
William’s height is at least 68 inches.
Darius is less than 4 inches taller than twice William’s height.
Darius is no more than 4 inches taller than twice William’s height.

Answers

Answer: A, C, F

(A) Darius is at least 36 inches tall.

(C) William’s height is less than 68 inches.

(F) Darius is no more than 4 inches taller than twice William’s height.

Step-by-step explanation:

edge2022

The inequality w < 68 can be written as William’s height is less than 68 inches.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, d ≥ 36, w < 68 and d ≤ 4 + 2w.

Atleast means all probabilities larger than the given probability ('at least') Atmost means all probabilities smaller than the given probability ('at most')

Here, d ≥ 36

Darius is at least 36 inches tall.

w < 68

William’s height is less than 68 inches.

d ≤ 4 + 2w

Darius is no more than 4 inches taller than twice William’s height.

Therefore, the inequality w < 68 can be written as William’s height is less than 68 inches.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ7

Write the following expression using symbolic language.
1) Five less than the product of seven and a number x
2) The difference of nine times a number y and eighteen
3) Half a number n increased by four times the number
4) Twice the sum of a number w cubed and twenty-three

Answers

Answer:

1) 7+x-5

2)9y-18

3)(n/2)(4n)

2(w^3+23)

- The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The Game Bank charges an annual fee of $17 plus $2.50 per game rented.

Write an equation in y=mx+b form describing the total cost to rent x games at each store.
Fun Guys:
Game Bank: ​

Answers

Fun guys: 5.50x + 5
Game Bank: 2.50x + 17

Please answer quickly thank you!

Answers

the answer would be the 2nd bubble:)

Gavin is 5 years older than David. Bridget is 4 years younger than David. If the total of their ages is 61, how old is the youngest of them?

Answers

Answer:

I belive the awnser is 16

Step-by-step explanation:

how do you graph x≤−5 on a number line??

Answers

u put the FILLED IN circle on top of the -5 with the arrow going left

Answer:

Step-by-step explanation:

x ≤ −5 means that x is less than or equal to -5, which means that -5 is a close circle.

What is the best method to use?
- 4x - 2y = -12
4x + 8y = -24

Answers

Answer:

x=6, y=-6. (6, -6). I used elimination method.

Step-by-step explanation:

-4x-2y=-12

4x+8y=-24

-------------------

6y=-36

y=-36/6

y=-6

-4x-2(-6)=-12

-4x+12=-12

-4x=-12-12

-4x=-24

4x=24

x=24/4

x=6

can you help me with 5

Answers

9514 1404 393

Answer:

  see below for the graph

Step-by-step explanation:

We can specify the location of the minimum and the axis of symmetry using the vertex form of the quadratic equation:

  y = a(x -h)² +k . . . . . . . vertex (h, k); scale factor 'a'

We can put the given values into the equation to see what 'a' needs to be to make the function have the desired y-intercept.

  -3 = a(0 -(-2))² +(-5)

  2 = 4a . . . . add 5 and simplify

  a = 1/2 . . . . divide by 4

The equation for the desired function can be ...

  y = 1/2(x +2)² -5

Simplify
– 23 – 2y – 2z + 5x – 2y – 4z

Answers

Answer:

5x - 4y - 6z - 23

Step-by-step explanation:

combine like terms

Answer:

5x-4y-6z-23

Step-by-step explanation:

i need help asap, i need the answer!!!

Answers

Answer:

33/100

Step-by-step explanation:

3/10 × 10 = 33/100

Answer: 30 correct me if I'm wrong

Step-by-step explanation:

Question 1 of 5 A home has an original value of $249,000. Each year, the value of the home decreases by 7.1%. Select the equation that models the situation after t years. V = 249,000(1.071)t V = 249,000(0.929)t V = 249,000(0.071)t V = 249,000(0.29)t

Answers

Answer:

V = 249,000(0.929)^t

Step-by-step explanation:

100% - 7.1% = 92.9% = 0.929

0.929 must be raised to t, the number of years.

V = 249,000(0.929)^t

When using a one-sample t-procedure to construct a confidence interval for the mean of a finite population, a condition is that the population size be at least 10 times the sample size. The reason for the condition is to ensure that the sample size is large enough the sample size is large enough A the central limit theorem is applicable for the sample mean the central limit theorem is applicable for the sample mean B the sample standard deviation is a good approximation of the population standard deviation the sample standard deviation is a good approximation of the population standard deviation C the degree of dependence among observations is negligible the degree of dependence among observations is negligible D the sampling method is not biased

Answers

Answer:

C. The degree of dependence among the observation is negligible.

Step-by-step explanation:

The conditions for performing a t-procedure when constructing a t-interval are;

1) The samples observation should be independent of each other

2) The use of a random sample or experiment for the procedure

3) Ensure the normality of the data of the dependent variable

Given that surveys usually involve sampling without replacement from a population which is finite can not be taken as independent Bernoulli trials however, it is allowable to still consider samples independent when they are less than 10% the size of population

Therefore, the reason for the condition is to ensure that the population to sample size ratio is large enough and that the degree of dependence among the observation is negligible.

jada jumped rope for 15 mins.. what percentage of diegos time is that? (diegos time is 20 mins)

Answers

Answer:

103 percent

just divide 20 by 15 and multiply the answer by 100 to convert to percentage form bro

I NEED HELP ASAP!!!
Chose one answer form the picture below.

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I am not so sure tho it's either b or d

Can someone pls give me the answer for this?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. -1/2

Step-by-step explanation:

See picture

What is the approximate height of a man who wears a
size 7 shoe? Round to the nearest whole number,
inches

Answers

If rounding it I would say maybe like 6.0

Answer: 64 inches

Step-by-step explanation:

Got it right

What is the median of 1,1,2,3,4,7,8,8

Answers

Answer:

3.5

Step-by-step explanation:

Austin’s mother bakes muffins at a rate of 4 dozen per hour. She signed up to bake 42 dozen for Sunday’s bake sale. How long will it take Austin’s mother to bake the required muffins?

Answers

Answer:

10.5 hours

Step-by-step explanation:

42/4 = 10.5

What numbers are less than 2.9 and -4.2?

Answers

the answer is -4.3!!!!!!!

Are the two triangles below congruent? explain how you know

Answers

I would say yes just by observing them for a few minutes

Find the equation of the line shown in the graph

Answers

Answer:

y=x+6

Step-by-step explanation:

y=mx+b

The slope (m) can be found by putting the rise (1) over the run (1).

y=1x+b

The y-intercept is 6, so therefore b is 6.

y=x+6

Someone please please help me on this!!!!

Answers

Answer:

constant of proportionality is 3.5, just divide the y column by the x column

If triangle ABC triangle EDF , what is the perimeter of triangle EDF ?

Answers

Answer:

I'm guessing 25.

Step-by-step explanation:

i don't know the relation between those two triangles, but they look like they're congruent so the side lengths would be the same and 3+12+10=25

PLS HELP I WILL GIVE BRAINLIEST PLS

Answers

Answer:

B.

Step-by-step explanation:

x represents the amount of guests going to the birthday party, with the amount of money per guest being 12. You would multiply those two together, but as we do not know the total amount of guests, we keep it as a variable. 125 is the amount before the guests even know about the party, so therefore, you would need to use that equation.

Find the perimeter of the figure to the nearest hundredth.

Answers

Answer:

42.84cm

Step-by-step explanation:

The perimeter is the sum of all the side length and the circumference of the semicircle

circumference of the semicircle = 2πr/2 = πr

circumference of the semicircle = 3.14 * (12/2)

circumference of the semicircle = 3.14 * 6

circumference of the semicircle = 18.84cm

Perimeter of the figure = 10cm + 6cm + 8cm + 18.84cm

Perimeter of the figure = 42.84cm (to nearest hundredth)

Can someone help me on this it’s been giving me a hard time

Answers

Given:

QRST is an isosceles trapezoid with RS||QT.

To find:

The value of x, angle R and angle T.

Solution:

If a transversal line intersect two parallel lines then the sum of same sides interior angles is 180 degrees.

[tex]m\angle Q+m\angle R=180[/tex]

[tex](6x-22)+(8x+34)=180[/tex]

[tex]14x+12=180[/tex]

[tex]14x=180-12[/tex]

[tex]14x=168[/tex]

Divide both sides by 14.

[tex]x=\dfrac{168}{14}[/tex]

[tex]x=12[/tex]

Now,

[tex]m\angle R=(8x+34)^\circ[/tex]

[tex]m\angle R=(8(12)+34)^\circ[/tex]

[tex]m\angle R=(96+34)^\circ[/tex]

[tex]m\angle R=130^\circ[/tex]

We know that the base angles of an isosceles triangle are equal.

[tex]m\angle T=m\angle Q=(6x-22)^\circ[/tex]

[tex]m\angle T=(6(12)-22)^\circ[/tex]

[tex]m\angle T=(72-22)^\circ[/tex]

[tex]m\angle T=50^\circ[/tex]

Therefore, [tex]x=12,\ m\angle R=130^\circ[/tex] and [tex]m\angle T=50^\circ[/tex].

algebra 1, help please

Answers

Answer:

A

Step-by-step explanation:

slope of line ⊥ to the line 4x-2y=6 or 2y=4x-6 or y=2x-3 is -1/2

eq. of line through (6,-8) with slope -1/2 is

y+8=-1/2(x-6)=-1/2 x+3

or y=-1/2 x+3-8

or y=-1/2 x-5

What is the equation of the line?

Answers

Answer:

y = -7

Step-by-step explanation:

This line is a horizontal line [HOY] - horizontal, 0 slope, and the equation starts with y = ___ , since it crosses at -7, then the line is y = -7

If the image below is dilated with a scale factor of 2, what is the perimeter of the dilated image?

Answers

Answer:

the answer is 24

Step-by-step explanation:

i got it correct on my test

Find the product of 0.75 x 2.1

Answers

Answer:

1.575

Step-by-step explanation:

0.75 x 2.1 = 1.575

Hope that helps!

Answer:

1.575

Step-by-step explanation:

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