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ollegr [7]
2 years ago
13

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

redth

Mathematics
1 answer:
NemiM [27]2 years ago
4 0
<h3>Answer:  V = 270.94/pi</h3>

========================================================

Work Shown:

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

r = C/(2pi)

r = (8.5)/(2pi)

r = 4.25/pi

-------------

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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