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Find the rate of change of the volume, V of a sphere with respect to...

Mathematics
JAMB 2001

Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.
  • A. 12π
  • B.
  • C. 24π
  • D.
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Correct Answer: Option B
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

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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Join your school's WhatsApp group
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789