Find the surface area of a sphere when its volume is changing at the same rate as its radius.
The volume of a sphere, of radius r, and its surface area are defined by
and A(r)=4πr2
Given that 
We get 
⇒ 4πr2=A(r)=1unit2
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Find the surface area of a sphere when its volume is changing at the same rate as its radius.
The volume of a sphere, of radius r, and its surface area are defined by
and A(r)=4πr2
Given that
We get
⇒ 4πr2=A(r)=1unit2