The rate of change of volume of a sphere with respect to its surface area, when the radius is 2cm is:
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1
Answer:
v=
3
4
πr
3
⇒
dr
dv
=4πr
2
,
s=4πr
2
⇒
dr
ds
=8πr
⇒
ds
dv
=
2
r
=1atr=2.
Rate of change of Volume of a sphere with respect to its surface area, when the radius is 2 cm is 1cm
3
/cm
2
.
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