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Which of the Following Integrals Determines the Volume of a Cone

Question 25

Multiple Choice

Which of the following integrals determines the volume of a cone of height H and radius R?


A) 0Rπ(R(Hh) ) 2dh\int_{0}^{R} \pi(R(H-h) ) ^{2} d h
B) 0Rπ(HR(Hh) ) 2dh\int_{0}^{R} \pi\left(\frac{H}{R}(H-h) \right) ^{2} d h
C) 0Hπ(RH(Hh) ) 2dh\int_{0}^{H} \pi\left(\frac{R}{H}(H-h) \right) ^{2} d h
D) 0Hπ(R(Hh) ) 2dh\int_{0}^{H} \pi(R(H-h) ) ^{2} d h

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