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.)'

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

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