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

2015-09-03 4:02 pm
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Options:


V = 45π in3; S = 72π in2
V = 63π in3; S = 81π in2
V = 99π in3; S = 81π in2
V = 117π in3; S = 90π in2

回答 (1)

2015-09-03 4:33 pm
✔ 最佳答案
V
= V(cylinder ) + (1/2)*V(sphere)
= πR^2*H + (1/2)*(4/3)πR^3
= π*3^2*9 + (2/3)π*3^3
= 81π + 18π
= 99π

S
= (1/2)*S(sphere) + S(cylinder without top and base) + S(base of cylinder)
= (1/2)*4π R^2 + 2πR*H + πR^2
= (1/2)*4π*3^2 + 2π*3*9 + π3^2
= 18π + 54π + 9π
= 81π

Ans:
V = 99π in^3
S = 81π in^2


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