sofiamanrique4ever
sofiamanrique4ever sofiamanrique4ever
  • 15-06-2021
  • Mathematics
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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 hundredth

The circumference of the base of the cone is 85 inches What is the volume of the cone in term of pi Round to the nearest hundredth class=

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jimthompson5910 jimthompson5910
  • 15-06-2021

Answer:  V = 270.94/pi

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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

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