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An ice cream waffle cone can be modeled by a right circular cone with a base diameter of 6.6 centimeters and a volume of 54.45π cubic centimeters. What is the number of centimeters in the height of the waffle cone?
JMAP geometry math cone
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An ice cream waffle cone can be modeled by a right circular cone with a base diameter of 6.6 centimeters and a volume of 54.45π cubic centimeters. What is the number of centimeters in the height of the waffle cone?

1) 3 3/4

2) 5

3) 15

4) 24 3/4

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judziy
Asked by judziyrep:909
University of Benin Nigeria
23 June 2020

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peter
Peter answeredrep:938
University of Lagos Nigeria
12 August 2020
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Volume of a cone, V = 1/3 πr2h

where r is the radius and h is the height

radius = diameter/2

radius = 6.6/2 = 3.3

54.45π = 1/3 π(3.3)2h

multiply both sides by 3

163.35π = π(3.3)2h

Divide both side by (3.3)2π

h = 163.35π / π(3.3)2

h = 15

Ans 3

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