Question

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 1

Answer:

$M_t=\frac{1372}{27}\pi t^9$

Step-by-step explanation:

We are given that Volume of spherical balloon in cubic meters

$V_r=\frac{4}{3}\pir^3$

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

$W_t=7t^3$

Substitute the value then we get

$M_t=\frac{4}{3}\pi(7t^3)^3$

$M_t=\frac{1372}{27}\pi t^9$

Hence, the volume of spherical balloon is given by the formula

$M_t=\frac{1372}{27}\pi t^9$