A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 15 cm. (Note the answer is a positive number).
Answer:
You'll get better help posting this in the math section.
V = 4/3 π r^3
= 4/3 π (D/2)^3
= π/6 * D^3
dV/dt = π/6 * 3D^2 * dD/dt
= π/6 * 3*(15)^2 * (-0.4)
= -141.4 cm^3 / min
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