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.

Answer 1

I hope this helps you

Answer 2

Answer: 1.4 inches

Step-by-step explanation:

The volume of cone is given by :-

$V=\dfrac{1}{3}\pi r^2 h$, 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 :-

$6=\dfrac{1}{3}(3.14) (2)^2(h)\\\\\Rightarrow\ h=\dfrac{6\times3}{(3.14)(2)^2}=1.433121019\approx1.4$

Hence, the height of the cone = 1.4 inches