A circular cardboard piece is needed for the base of a volcano model. The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters. Which equation can be used to find the area of the circular base?
Answer
A
46 is equal to 1 third cap b 800
B
800 is equal to 1 third open paren cap b squared close paren 46
C
800 is equal to 1 third cap b 46
D
46 is equal to 1 third cap b squared 800
Explanation
The volume of a cone is one-third the area of its base times its height: V = (1/3)Bh. Substituting the volume of 800 cubic centimeters and height of 46 centimeters gives 800 = (1/3)B(46), which is choice C.
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