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
