Question

A cone with diameter 5 inches and height 7.5 inches is shown. 7.5 in 5 in Enter the volume of the cone, in cubic inches. Round your answer to the nearest hundredth.

Answer 1

We are asked to determine the volume of a cone. To do that we will use the following formula:

$V=\frac{1}{3}(\pi r^2)h$

Where "r" is the radius and "h" is the height. Since the diameter is twice the radius that means that r = 5/2. Replacing the values we get:

$V=\frac{1}{3}(\pi(\frac{5}{2}in)^2)(7.5in)$

Solving the operations:

$V=49.09in^3$