Question

What is the height of a cone with a radius of 2 inches and volume of 6 cubic inches? Round your answer to the tenths place.

0.5 inch
1.4 inches
3.0 inches
4.0 inches

Answer 1

i hope this helps you

Answer 2

Answer: 1.4 inches

Explanation:

The volume of cone is given by :-

`V=(1)/(3)\pi r^2 h`, where r is radius and h is height of the cone.

Given: Volume of cone = 6 cubic inches

Radius =2 inches

Let h be the height of the cone .

Then , the volume of the cone will be :-

`6=(1)/(3)(3.14) (2)^2(h)\\\\\Rightarrow\ h=(6*3)/((3.14)(2)^2)=1.433121019\approx1.4`

Hence, the height of the cone = 1.4 inches