The volume $V (r)$ (in cubic meters) of a spherical balloon with radius $r$ meters is given by $V (r) = \frac{4}{3} π r^{3}$ . The radius $W (t)$ (in meters) after $t$ seconds is given by $W (t) = 5 t + 3$
Write a formula for the volume $M (t)$ (in cubic meters) of the balloon after $t$ seconds. It is not necessary to simplify.
$M (t) =$

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Final Answer: $M (t) = V (W (t)) = \frac{4}{3} π (5 t + 3)^{3}$

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Step 1 ：We are given two functions, $V (r)$ and $W (t)$ . We are asked to find a formula for the volume $M (t)$ of the balloon after $t$ seconds.

Step 2 ：Since the volume of the balloon is a function of its radius, and the radius is a function of time, we can substitute $W (t)$ into $V (r)$ to get $M (t)$ .

Step 3 ：Final Answer: $M (t) = V (W (t)) = \frac{4}{3} π (5 t + 3)^{3}$

The volume V(r) (in cubic meters) of a spherical balloon with radius r meters is given by V(r)=43πr3. The radius W(t) (in meters) after t seconds is given by W(t)=5t+3Write a formula for the volume M(t) (in cubic meters) of the balloon after t seconds. It is not necessary to simplify.M(t)=

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