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Find the volume and surface area of the composite figure. Give four answer in terms of π.

Find the volume and surface area of the composite figure. Give four answer in terms-example-1
User Bitinerant
by
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1 Answer

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Answer:

V = 99π in³; S = 81π in²

Explanation:

Volume is that of a hemisphere of radius 3 in together with that of a cylinder of radius 3 in and height 9 in.

V = (2/3)πr³ +πr²h = (πr²)(2/3r +h)

= 9π(2 +9) = 99π . . . . in³

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The area is that of a hemisphere, the side of the cylinder, and the circular bottom of the cylinder.

S = 2πr² +2πrh +πr² = πr(2r +2h +r)

S = 3π(6+18 +3) = 81π . . . . in²

User Rory Shaw
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