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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 inches, of a right circular cylinder with a radius of 3 inches and a height of 2 inches?
Choose 1 answer:
(A)
5pi
(B)
6pi
(C)
12 pi
(D)
18 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 inches, of a right circular cylinder with a radius of $3$ inches and a height of $2$ inches? $\newline$ Choose $1$ answer: $\newline$ (A) $5\pi$ $\newline$ (B) $6\pi$ $\newline$ (C) $12\pi$ $\newline$ (D) $18\pi$

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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 inches, of a right circular cylinder with a radius of

3

inches and a height of

2

inches?

\newline

Choose

1

answer:

\newline

(A)

5\pi

\newline

(B)

6\pi

\newline

(C)

12\pi

\newline

(D)

18\pi

Identify Given Values: Identify the given values for the problem: radius $r$ = $3$ inches, height $h$ = $2$ inches. The formula for the volume of a right circular cylinder is $V = \pi r^2 h$ . We will use these values in the formula to find the volume.
Substitute Values into Formula: Substitute the given values into the formula. $V = \pi \times (3 \text{ inches})^2 \times 2 \text{ inches}$ . This means we square the radius, which is $3 \text{ inches}$ , and then multiply by the height, which is $2 \text{ inches}$ , and finally multiply by $\pi$ to get the volume.
Calculate Squared Radius: Calculate the squared radius: $(3 \, \text{inches})^2 = 9 \, \text{square inches}$ . This is the area of the base of the cylinder.
Find Volume: Multiply the area of the base by the height and $\pi$ to find the volume. $V = \pi \times 9 \text{ square inches} \times 2 \text{ inches} = 18\pi \text{ cubic inches}$ . This gives us the volume of the cylinder in terms of $\pi$ .

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