Big Ideas Math: Modeling Real Life, Grade 8
BI
Big Ideas Math: Modeling Real Life, Grade 8 View details
Chapter Review
Continue to next subchapter

Exercise 7 Page 456

Use the formula for the volume of a cone.

804.2 m^2

Practice makes perfect

The given solid is a cone.

We can calculate the volume of a cone with the radius r and height h using the following formula. V= 13Ï€ r^2 h We are given that the height of the cone is 12 meters and the radius of the base is 8 meters. Let's substitute these values into the formula and calculate the volume.

V=1/3Ï€ r^2 h
V=1/3Ï€ ( 8)^2 ( 12)
â–¼
Simplify right-hand side
V=1/3Ï€(64)(12)
V=1/3Ï€(768)
V=768Ï€/3
V=256Ï€
V=804.247719...
V≈ 804.2

The volume of the cone is approximately 804.2 cubic meters.