The volume Vr (in cubic meters) of a spherical balloon with radius r meters is given by =Vr43πr3. The radius Wt (in meters) after t seconds is given by =Wt+7t3. Write a formula for the volume Mt (in cubic meters) of the balloon after t seconds. It is not necessary to simplify.

Answer:[tex]M_t=\frac{1372}{27}\pi t^9[/tex]Step-by-step explanation:We are given that Volume of spherical balloon in cubic meters[tex]V_r=\frac{4}{3}\pir^3[/tex]We have to find the value of volume of the balloon after t seconds.We are given that radius of spherical balloon after t seconds[tex]W_t=7t^3[/tex]Substitute the value then we get [tex]M_t=\frac{4}{3}\pi(7t^3)^3[/tex][tex]M_t=\frac{1372}{27}\pi t^9[/tex]Hence, the volume of spherical balloon is given by the formula[tex]M_t=\frac{1372}{27}\pi t^9[/tex]