amosgreen24 amosgreen24
  • 03-03-2022
  • Mathematics
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What is the EXACT volume of this composite figure? *
Captionless Image

A

B

C

What is the EXACT volume of this composite figure Captionless Image A B C class=

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isophyae
isophyae isophyae
  • 03-03-2022

Answer:

324pi

Step-by-step explanation:

V of sphere = 4/3 x pi x r^3

V of cone = pi x r^2 x h x 1/3

4/3 x pi x 6^3 = 288 pi

pi x 6^2 x 15 x 1/3 = 180 pi

since the sphere is cut in half = 288/2 = 144

144 pi + 180 pi = 324 pi

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