Question

8. A toy box is shaped like a cylinder. The diameter is 4 feet and the height of the container is 22 feet. Which measurement is closest to the volume of the toy box in cubic feet? A. 153.5 B. 12.22 C. 10.49 D. 38.37

Answer 1

The volume of a cylinder is equal to the area of its base times its height.

Since the base is a circle with diameter 4 feet, then its radius is 2 feet (since the diameter is twice the radius).

The area of a circle with radius r is:

`\pi* r^2`

Then, the area of the base of the cylinder is:

`\pi*(2feet)^2=4\pi feet^2`

Since the height of the container is 22 feet, then its volume is equal to:

`\begin{gathered} V=A* h \\ =4\pi feet^2*22feet^2 \\ =88\pi feet^3 \end{gathered}`

The number 88 times pi is approximately:

`88\pi=276.4601535\ldots\approx276.46`

From the options 153.5, 12.22, 10.49 and 38.37, the closest measurement to 276 is 153.5.