Question

use this formula to find the volume of each cone. v = 1/3 bh. complete to find the volume of each cone. radius r of base = 3 in. h = 10 in. v = 1/3 bh v = 1/3 (πr²)h v = 1/3 (π× )× v = 1/3 ( )× v = × v = in³

Explanation:

Step1: Recall base - area formula for cone

The base of a cone is a circle, and the area formula for a circle is $B=\pi r^{2}$. Here $r = 3$ in. So $B=\pi\times3^{2}=9\pi$ in$^{2}$.

Step2: Substitute into volume formula

The volume formula of a cone is $V=\frac{1}{3}Bh$. We know $B = 9\pi$ in$^{2}$ and $h = 10$ in. Substitute these values into the formula: $V=\frac{1}{3}\times(9\pi)\times10$.

Step3: Calculate the volume

First, $\frac{1}{3}\times9\pi=3\pi$. Then $3\pi\times10 = 30\pi$ in$^{3}\approx30\times3.14=94.2$ in$^{3}$.

Answer:

$94.2$ in$^{3}$