document.write( "Question 1125312: GENERAL: Hailstones A hailstone (a small sphere of ice) is forming in the clouds so that its radius is growing at the rate of 1 millimeter per minute. How fast is its volume growing at the moment when the radius is 2 millimeters? [Hint: The volume of a sphere of radius r is V = 4/3*pi r^3.] \n" ); document.write( "

Algebra.Com's Answer #741612 by rothauserc(4718) $\"\"$ $\"About$

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take first derivative of V and r with respect to time
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\n" ); document.write( "dV/dt = 3 * (4/3) * pi * r^2 * dr/dt = 4 * pi * r^2 * dr/dt
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\n" ); document.write( "dV/dt = 4 * pi * 4 * 1 = 16 * pi is approximately 50.27 mm^3 per minute
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