body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

Continue to next subchapter

Exercise 23 Page 753

Use the formula for the volume of a cone.

410.5yd^3

Practice makes perfect

The given solid is a cone.

To calculate the volume of a cone, we can use the following formula. V= 13π r^2 h Here r is the radius and h is the height of the cone. We are given that the height of the cone is 8yd and that the radius of the base is 7yd. Let's substitute these values into the above formula and calculate the volume.

V=1/3π r^2 h

r= 7, h= 8

V=1/3π ( 7)^2 ( 8)

▼

Simplify right-hand side

Calculate power

V=1/3π(49)(8)

Multiply

V=392/3π

Use a calculator

V=410.50144...

Round to 1 decimal place(s)

V≈ 410.5

The volume of the cone is 410.5yd^3.