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V=pir^(2)h
The formula gives the volume
V of a right circular cylinder with radius
r and height
h. What is the volume, in cubic centimeters, of a right circular cylinder with a radius of 2 centimeters and a height of 20 centimeters?
Choose 1 answer:
(A)
40 pi
(B)
80 pi
(C)
400 pi
(D)
800 pi

$V=\pi r^{2}h$ $\newline$ The formula gives the volume $V$ of a right circular cylinder with radius $r$ and height $h$ . What is the volume, in cubic centimeters, of a right circular cylinder with a radius of $2$ centimeters and a height of $20$ centimeters? $\newline$ Choose $1$ answer: $\newline$ (A) $40 \pi$ $\newline$ (B) $80 \pi$ $\newline$ (C) $400 \pi$ $\newline$ (D) $800 \pi$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q.

V=\pi r^{2}h

\newline

The formula gives the volume

V

of a right circular cylinder with radius

r

and height

h

. What is the volume, in cubic centimeters, of a right circular cylinder with a radius of

2

centimeters and a height of

20

centimeters?

\newline

Choose

1

answer:

\newline

(A)

40 \pi

\newline

(B)

80 \pi

\newline

(C)

400 \pi

\newline

(D)

800 \pi

Identify values: Identify the given values for the radius and height of the cylinder. $\newline$ Radius $r = 2$ cm $\newline$ Height $h = 20$ cm $\newline$ We will use the formula for the volume of a right circular cylinder, which is $V = \pi r^2 h$ .
Substitute values: Substitute the given values into the volume formula. $V = \pi \times (2 \, \text{cm})^2 \times 20 \, \text{cm}$
Calculate radius squared: Calculate the radius squared. $\newline$ $(2 \, \text{cm})^2 = 4 \, \text{cm}^2$
Multiply base area: Multiply the area of the base by the height to find the volume. $\newline$ $V = \pi \times 4 \, \text{cm}^2 \times 20 \, \text{cm}$ $\newline$ $V = 80\pi \, \text{cm}^3$
Match with answer choices: Match the calculated volume with the given answer choices. $\newline$ The volume of the cylinder is $80\pi$ cubic centimeters, which corresponds to answer choice $(B)$ .

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