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شائع 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?

الحلّ

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 ?

الحلّ

v o l u m e : 4500 π c m^{3}

+1

عشري

14137.16694 \dots

خطوات الحلّ

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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