Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
4. Volumes of Prisms and Cylinders
Continue to next subchapter

Exercise 14 Page 721

Use the formula for the volume of a cylinder.

288Ï€ in^3 or 904.8 in^3

Practice makes perfect

We are given the following cylinder, and we want to find its volume.


The volume of a cylinder with the radius r and height h can be calculated by the following formula. V=Ï€ r^2 h Since we are given both the radius and height of the cylinder, we can substitute them into the formula and calculate V.

V=Ï€ r^2 h
V=Ï€ ( 6)^2 ( 8)
â–¼
Evaluate right-hand side
V=Ï€(36)(8)
V=288Ï€
V=904.778684...
V≈ 904.8

The approximate volume of the given cylinder is 288Ï€ in^3 or 904.8 in^3.