Question

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder what is its volume?

Answer 1

Answer:

10.75 cubic inches

Step-by-step explanation:

Hello, I can help you with this

we need to remember the formula  for the volume of a cylinder

Volume of a cilynder

V=$area*heigh\\\pi *radius^{2}*height$

now the volume of a cone is given by:

$\frac{1}{3}*area*heigh\\\frac{1}{3} * \pi *radius^{2}*height$

if the cone and the cylinder have the same radius and height

Volume of the cylinder= 32.25 cubic inches=$\pi r^{2}*h$

now, we know

$32.25\ cubic\ inches =\pi r^{2}*h$

replace this value into the volume of the cone

volume of the cone=

$V=\frac{1}{3}*\pi r^{2}*h \\V=\frac{1}{3} *32.25\\V=10.75$

so, the volume of the cone is 10.75 cubic inches

Have a nice day

Answer 2

Cylinder volume is Pi*r^2*h
Cone is 1/3 the volume of a Cylinder.
32.25/3 = 10.75