Question

A cone with a radius 2 units is shown below. Its volume is 29 cubic units. Find the height of the cone

Answer 1

Answer:

The height of the cone is $6.9\ units$

Step-by-step explanation:

we know that

The volume of the cone is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the circular base of the cone

h is the height of the cone

In this problem we have

$V=29\ units^{3}$

$r=2\ units$

Find the area of the base B

$B=\pi r^{2}$

substitute the value of r

$B=\pi (2)^{2}=4 \pi\ units^{2}$

Find the height of the cone

$29=\frac{1}{3}(4 \pi)h$

$h=29*3/(4 \pi)$

assume $\pi=3.14$

$h=29*3/(4*3.14)=6.9\ units$