Question

Write a function rule for the volume of the cylinder shown at the right with a height 3 in more than 4 times the radius of the cylinder's base. What is the volume of the cylinder when it has a radius of 2 in?

Answer 1

Volume of a cylinder = π r² h

radius = 2 inches
height = 3 inches more than 4 times the radius. 4(2) + 3 = 8 + 3 = 11 inches

Volume of a cylinder = 3.14 * (2in)² * 11 inches
Volume of a cylinder = 3.14 * 4in² * 11 inches
Volume of a cylinder = 138.16 in³

Answer 2

we know that

The volume of a cylinder is equal to

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

where

r is the radius of the base

h is the height of the cylinder

In this problem

`h=3+4r`

For
`r=2\ in`

Find the value of h

`h=3+4*2`

`h=11\ in`

Find the volume of the cylinder

`V=\pi*2^(2)*11`

`V=44*\pi\ in^(3)= 138.2\ in^(3)`

therefore

the answer is

The volume of a cylinder is equal to
`138.2\ in^(3)`