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a spherical snowball is melting. its radius is decreasing at 0.2 cm per hour when the radius is15 cm. How fast is its volume decreasing at that time?

2007-11-01 15:53:53 · 2 answers · asked by Sultana 2 in Science & Mathematics Engineering

2 answers

V = (4/3)πr^3
dV/dt = (4πr^2)(dr/dt)
dV/dt = - (4π15^2)(0.2)
dV/dt ≈ - 565.4867 cm^3/h

2007-11-01 16:19:23 · answer #1 · answered by Helmut 7 · 0 0

sphere = (4/3) pi r 3 so when the radius decreases use the formula by putting (r-x)in place of (r) .'x' is nothing but the decrement of radius.and u can find the volume .
and off course volume doesn't depends on the speed .

2007-11-01 16:28:01 · answer #2 · answered by jeet 1 · 0 0

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