Question

Word Problem involving composition of two functions! 15 pts for an answer

Answer 1

The surface area of the sphere in terms of t is N(t) = 64πt²/9 square meters.

What is a sphere?

It is defined as three-dimensional geometry when half-circle two-dimensional geometry revolved around the diameter of the sphere that will form.

$\rm V = \dfrac{4}{3} \pi r^3$

We have:

$\rm S(r) = 4\pi r^2$

The radius:

$\rm P(t) = \dfrac{4}{3}t$

Plug the value of radius in the surface area formula:

$\rm N(t) = 4\pi (\dfrac{4}{3}t)^2$

$\rm N(t) = 4\pi (\dfrac{16}{9}t^2)\\\\\rm N(t) = \dfrac{64}{9} \pi t^2$

Thus, the surface area of the sphere in terms of t is N(t) = 64πt²/9 square meters.

Learn more about the sphere here:

brainly.com/question/11374994

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