2001
Mathematics
67ca00ce0c643c71d77dee1f
Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.
A.
12π
B.
4π
C.
24π
D.
8π
Correct Answer: 4π
Explanation
Volume of sphere, V = 4/3 x πr3 Rate of change of V = dv/dr Thus if V = 4/3 x πr3, => dv/dr = 4πr2 At r = 1, Rate = 4 x π x 1 = 4π
Volume of sphere, V = 4/3 x πr3 Rate of change of V = dv/dr Thus if V = 4/3 x πr3, => dv/dr = 4πr2 At r = 1, Rate = 4 x π x 1 = 4πTHIS WEEK's
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