Question

1. if a cylinder has a height of 7 inches and a volume of 28π in³, find its radius. v = b·h or v = π·r²·h r = inches

Explanation:

Step1: Substitute given values into formula

Given $V = 28\pi$ and $h=7$, substitute into $V=\pi r^{2}h$. We get $28\pi=\pi r^{2}\times7$.

Step2: Simplify the equation

Divide both sides of the equation $28\pi = 7\pi r^{2}$ by $7\pi$. The $\pi$ terms cancel out and $\frac{28}{7}=r^{2}$, so $r^{2}=4$.

Step3: Solve for $r$

Take the square - root of both sides. Since $r$ represents a radius (a non - negative quantity), $r = 2$.

Answer:

$2$