The circumference of the base of the cone is 8.5 inches. What is the volume of the cone in term of pi? Round to the nearest hund

Question

3 years ago

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redth

1 answer:

NemiM [27] · Answer 1 · 2022-09-05T16:55:58+03:00

<h3>Answer: V = 270.94/pi</h3>

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Work Shown:

C = 2*pi*r ......... circumference of the circular base

r = C/(2pi)

r = (8.5)/(2pi)

r = 4.25/pi

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V = pi*r^2*h ...... volume of the cone

V = pi*(4.25/pi)^2*15

V = pi*(18.0625/pi^2)*15

V = (18.0625*15)/pi

V = 270.9375/pi ..... exact volume in terms of pi

If we round that decimal number up top to the nearest hundredth, then we end up with V = 270.94/pi