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An ice cream waffle cone can be modeled by a right circular ...
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An ice cream waffle cone can be modeled by a right circular cone with a base diameter of 5.5 centimeters and a volume of 50.42π cubic centimeters. What is the number of centimeters in the height of the waffle cone?Question 2 options:

5 cm

27.5 cm

20 cm

6.68 cm

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Nas
Asked by Nasrep:4
United States
19 February 2021

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dp
Nas,
CAN SOMEONE PLEASE HELP
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judziy
Judziy answeredrep:2.1K
University of Benin Nigeria
21 February 2021
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volume of a right circular cone, V = 1/3 πr2h ---------- eqn(1)

where r is the radius and h is the height

r = diameter/2 = 5.5/2 = 2.75 cm

v = 50.42π

substitute the values of r and v into eqn(1)

50.42π = 1/3 π(2.75)2h

multiply both sides by 3

151.26π = 7.5625πh

divide both sides by 7.5625π

h = (151.26π)/(7.5625π)

h = 20 cm

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