Answer:
V = 99π in³; S = 81π in²
Step-by-step 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
