CK-12 Geometry - Second Edition

http://www.ck12.org Chapter 11. Surface Area and Volume

Solution:If the diameter is 16, then the radius is 8.

V=π 82 ( 21 ) = 1344 πunits^3

Example 7:Find the volume of the cylinder.

Solution:V=π 62 ( 15 ) = 540 πunits^3

Example 8:If the volume of a cylinder is 484πin^3 and the height is 4 in, what is the radius?

Solution:Plug in what you know to the volume formula and solve forr.

484 π=πr^2 ( 4 )

121 =r^2

11 =r

Example 9:Find the volume of the solid below.

Solution:This solid is a parallelogram-based prism with a cylinder cut out of the middle. To find the volume, we
need to find the volume of the prism and then subtract the volume of the cylinder.

Vprism= ( 25 · 25 ) 30 = 18750 cm^3

Vcylinder=π( 4 )^2 ( 30 ) = 480 πcm^3