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The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = r^{2}h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?

A. 2

B. 4

C. 8

D. 12

E. 16

**Comments**

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V = 1/3 πr^{2}h

where V = 142

h = 8.5

142 = 1/3 πr^{2}(8.5)

multiply both sides by 3

426 = πr^{2}(8.5)

divide both sides by 8.5π

r^{2} = 426/(8.5π)

r^{2} = 15.9529

Take the square root of both sides

r = 4

**Answer: B**

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