CH===The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 40 mm? Evaluate your answer numerically. (Round the answer to the nearest whole number.) '

Question

Gabriel Noble

Physics

19 September, 08:55

CH===The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 40 mm? Evaluate your answer numerically. (Round the answer to the nearest whole number.) '

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Answers (1)

Know the Answer?

Sugar · Answer 1

15086 mm³/s

Explanation:

Given

dr / dt = 3 mm/s

v = 4/3 π r³

dv / dt = (4 / 3) π 3r² dr/dt

= 4πr² x 3

= 12πr²

= 12 x 22/7 x 20²

= 15086 mm³/s