Air is being pumped into a spherical balloon so that its volume increases at a rate of . How fast is the radius of the balloon increasing
when the diameter is 50 cm.
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Volume of a Sphere (V) =
Differentiating both sides wrt 't'
=
Given,
, diameter=50cm, radius(r)=25cm
Putting the values accordingly,
100=
Cancelling the numerator and denominator in a appropriate manner,
we get,
Hence, the answer is (Rate of increase of radius)
Differentiating both sides wrt 't'
=
Given,
, diameter=50cm, radius(r)=25cm
Putting the values accordingly,
100=
Cancelling the numerator and denominator in a appropriate manner,
we get,
Hence, the answer is (Rate of increase of radius)
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