Question

connecting concepts in exercises 45 - 48, find the height h or the area b of the base of the solid. 45. volume = 84π in.³

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = Bh$, where $V$ is volume, $B$ is the area of the base, and $h$ is the height.

Step2: Substitute known values

We know $V = 84\pi$ in³ and $h = 7$ in. Substituting into the formula gives $84\pi=B\times7$.

Step3: Solve for $B$

Divide both sides of the equation by 7: $B=\frac{84\pi}{7}=12\pi$ in².

Answer:

$12\pi$ in²