The radius of a spherical bubble is increasing at the rate of . At what rate is its volume increasing when the radius is ?
Answer and explanation
Correct answer: D.
- Step 1: Volume of a sphere is .
- Step 2: Differentiating with respect to time : .
- Step 3: Substitute and : .
Answer
.
Why not the others: uses instead of ; forgets to multiply by ; and divides by 4.
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