Question

find the volume of the cone. either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth. (image of a cone with height 5 and radius 5)

Explanation:

Step1: Identify radius and height

Radius $r=5$, height $h=5$

Step2: Use cone volume formula

Volume $V=\frac{1}{3}\pi r^2 h$

Step3: Substitute values

$V=\frac{1}{3}\pi (5)^2 (5)=\frac{125}{3}\pi$

Step4: Calculate numerical value

$\frac{125}{3}\times3.14\approx130.83$

Answer:

$\frac{125}{3}\pi$ or 130.83