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Popular Word Problems >

A spherical snowball is melting. Its radius is decreasing at 0.2 centimeters per hour when the radius is 15cm. How fast is the volume changing at this time at this time?

Solution

A s p h er i c a l s n o w ba ll i s m e lt in g . I t s r a d i u s i s d ecre a s in g a t 0.2 ce n t im e t ers p er h o u r w h e n t h e r a d i u s i s 15 c m . Ho w f a s t i s t h e v o l u m e c han g in g a t t hi s t im e a t t hi s t im e ?

Solution

v o l u m e : 4500 π c m^{3}

+1

Decimal

14137.16694 \dots

Solution steps

Given:

r a d i u s : 15 c m

Sphere Volume:

V = 4500 π

v o l u m e : 4500 π c m^{3}

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