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A cylinder has a radius of 4.8 feet and a height of 8.1 feet. What is the volume, to the nearest tenth of a cubic foot, of the cylinder?
(A) quad989.4
(B) quad586.3
(C) quad244.3
(D) quad186.6

A cylinder has a radius of $4.8$ feet and a height of $8.1$ feet. What is the volume, to the nearest tenth of a cubic foot, of the cylinder? $\newline$ (A) $\quad989.4$ $\newline$ (B) $\quad586.3$ $\newline$ (C) $\quad244.3$ $\newline$ (D) $\quad186.6$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A cylinder has a radius of

4.8

feet and a height of

8.1

feet. What is the volume, to the nearest tenth of a cubic foot, of the cylinder?

\newline

(A)

\quad989.4

\newline

(B)

\quad586.3

\newline

(C)

\quad244.3

\newline

(D)

\quad186.6

Identify Formula: Identify the formula for the volume of a cylinder. $\newline$ Volume = $\pi \times \text{radius}^2 \times \text{height}$ $\newline$ Here, radius = $4.8$ feet, height = $8.1$ feet.
Calculate Volume: Plug in the values and calculate the volume. $\newline$ Volume = $\pi \times (4.8)^2 \times 8.1$ $\newline$ = $\pi \times 23.04 \times 8.1$ $\newline$ = $\pi \times 186.624$
Use Value of $\pi$ : Calculate using the value of $\pi$ (approximately $3.14$ ). $\newline$ Volume = $3.14 \times 186.624$ $\newline$ = $586.31936$ cubic feet, rounded to $586.3$ cubic feet.

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