Answer to Question #124935 in Geometry for Jonathan

Question

Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Answer 1

From the task condition we find the radius$(r)$ and height$(h)$:

$r=\frac{d}{2}=5$ inches,

$h=3r=15$ inches.

The volume $(V)$ of the cylinder:

$V=S_{base}h=15\pi r^2=15\pi 5^2=1177.5$ inches.

Answer: $V=1177.5$ inches.