Question

A cylinder has a radius of 24.6 inches and a volume of 29,468 in3. Find its height.

A. 14.5 in
B. 15 in
C.15.5 in
D. 16.5 in

Answer 1

15.49 inches

Explanation:

Volume of a cylinder is given by

`V=\pi r^(2)h`

Making h the subject of the formula then

`h=\frac {V}{\pi r^(2)}`

Where h is the height, V is volume and r is radius. Substituting 24.6 inches for r and 29468 cubic inches for V then

`h=\frac {29468}{\pi 24.6^(2)}=15.493723673378\ in\approx 15.49\ in`

Therefore, the height is approximately 15.49 inches