Question

find the volume of this cone. use 3 for $pi$. hint: the radius (r) is 1/2 of the diameter.

Explanation:

Step1: Calculate the radius

The diameter is 10 ft, so $r=\frac{10}{2}=5$ ft.

Step2: Substitute values into volume formula

Given $\pi = 3$, $r = 5$ ft and $h=5$ ft, substitute into $V=\frac{\pi r^{2}h}{3}$. Then $V=\frac{3\times5^{2}\times5}{3}$.

Step3: Simplify the expression

First, calculate $5^{2}=25$. Then the expression becomes $\frac{3\times25\times5}{3}$. The 3 in the numerator and denominator cancels out, leaving $25\times5 = 125$ $ft^{3}$.

Answer:

125