Air is being pumped into a spherical balloon at a constant rate such that its radius increases constantly with respect to time according to the equation r(t)=0.5t2+r∘, (where r is in cm,t is in minute and r∘ is the initial radius of the balloon). Then the rate of change of its volume after 2 minute is (Assume that the initial radius of the balloon is 2 cm)

Air is being pumped into a spherical balloon at a constant rate such t

1.	Air is being pumped into a spherical balloon at a constant rate such that its radius increases constantly with respect to time according to the equation r(t)=0.5t2+r∘, (where r is in cm,t is in minute and r∘ is the initial radius of the balloon). Then the rate of change of its volume after 2 minute is (Assume that the initial radius of the balloon is 2 cm)
Answer» Air is being pumped into a spherical balloon at a constant rate such that its radius increases constantly with respect to time according to the equation $r (t) = 0.5 t^{2} + r_{\circ},$ (where $r$ is in $cm, t$ is in $minute$ and $r_{\circ}$ is the initial radius of the balloon). Then the rate of change of its volume after $2 minute$ is (Assume that the initial radius of the balloon is $2 cm$ )