Question on: JAMB Mathematics - 2001
Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.
A
12Ï€
B
4Ï€
C
24Ï€
D
8Ï€
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Correct Option: B
Volume of sphere, V = 4/3 x πr3
Rate of change of V = dv/dr
Thus if V = 4/3 x πr3,
=> dv/dr = 4Ï€r2
At r = 1, Rate = 4 x π x 1 = 4π
Rate of change of V = dv/dr
Thus if V = 4/3 x πr3,
=> dv/dr = 4Ï€r2
At r = 1, Rate = 4 x π x 1 = 4π
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