Question

What is the exact volume of the cone Height of 10 cm and a radius of 4 cm pls help me on my homework

Answer 1

Answer:  $\frac{160\pi}{3} \ \text{cubic cm}$

Work Shown

$V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*4^2*10\\\\V = \frac{160\pi}{3}$

Answer 2

Answer:

$\frac{160\pi }{3}$ cm³

Step-by-step explanation:

Pre-Solving

We are given that a cone has a height of 10 cm and a radius of 4 cm. We want to find the exact volume of this cone.

Recall that the equation to find the volume of a cone is $\frac{\pi r^2h}{3}$, where r is the radius and h is the height.

Solving

Since we are given the value of both the radius and the height, we can plug these values into the equation given.

We get:

$\frac{\pi (4)^2(10)}{3}$

This simplifies to become:

$\frac{\pi *16*(10)}{3}$

$\frac{160\pi }{3}$ cm³