1 Answer

Siwymilek · Answer 1 · 2023-02-17T05:51:03+0000

Answer:

h = 20inches

The formula for calculating the volume of a cone is expressed as:

$V=(1)/(3)\pi r^2h$

where:

r is the radius

h is the height

Given the following

r = 12 inches

V = 3014.4 cubic inches

Substitute to determine the height

$\begin{gathered} 3014.4=(1)/(3)*3.14*12^2* h \\ 3014.4*3=452.16h \\ h=(9043.2)/(452.16) \\ h=20inches \end{gathered}$

Hence the height of the cone will be 20inches