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Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi.


a. 3 inches
b. 4 inches
c. 8 inches
d. 16 inches

Respuesta :

The solution to the problem is as follows:

Given: V = 83.74 in^3 ; h = 5 in

Solution:

V = 1/3 pi*r^2*h
V = 1/3 pi*1/4*d^2*h

sqrt(d) = sqrt (12V/pi*h)
d = sqrt(12(83.74)/(3.14)(5))

d = 8.6 in

Therefore, letter C 8 in.

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