What is the rate of change of the volume v of a... - JAMB Mathematics 2004 Question
What is the rate of change of the volume v of a hemisphere with respect to its radius r when r = 2?
A
8π
B
16π
C
2π
D
4π
correct option: a
V = 2/3π3
dv/dr = 2πr2
dv/dr = 2π(2)2
= 8π
dv/dr = 2πr2
dv/dr = 2π(2)2
= 8π
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