meepisbeast13 meepisbeast13

03-03-2022
Mathematics

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What is the EXACT volume of this composite figure?

324 pie in^3
468 pie in^3
684 pie in^3
828 pie in^3

What is the EXACT volume of this composite figure 324 pie in3 468 pie in3 684 pie in3 828 pie in3 class=

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mathstudent55 mathstudent55

03-03-2022

Answer:

324π in.³

Step-by-step explanation:

The figure is a cone and a half sphere.

V = (1/3)πr²h + [(4/3)πr³]/2

V = (1/3)π(36 in.²)(15 in.) + (2/3)π(216 in.³)

V = [180π + 144π] in.³

V = 324π in.³

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