3D: Volume/ Surface Area

Tip

You will need to know how to find the volume and surface area of a cube and rectangular solid, and the volume and surface area of a cylinder. If you are asked to find the volume or surface area of other figures, those formulas may be given in the problem.

Sample Problem

The volume, in cubic centimeters, of a right circular cylinder is 45π . If the radius of the base is 3 centimeters, what is the height of the cylinder? The formula for the volume of a cylinder is (V = πr2h).

Answer Options

(A) 5 cm
(B) 7.5 cm
(C) 10 cm
(D) 15 cm
(E) 18 cm
View Correct Answer

(A) 5 cm

The formula for the area of a right circular cylinder is πr2h. So when πr2h = 45π and r = 3, then π(3)2 h = 45π, so 9h = 45 or h = 5.

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