Respuesta :
The formula to find the volume of cylinder is
[tex] \pi r^{2} h [/tex]
The radius of cylinder = 2 in
Height of the cylinder = 3 in
Substituting the values of r = 2 & h = 3
We get
Volume of cylinder
[tex] \pi2^{2} (3)= 12\pi [/tex]
The formula to find the volume of cone is
[tex] \frac{1}{3}\pi r^{2} h [/tex]
The radius of the cone is given as 3 inches
Substituting in the formula we get
[tex] \frac{1}{3} \pi 3^{2}h= 3\pi h [/tex]
But the volumes are given equal
So
[tex] 3\pi h= 12\pi [/tex]
Dividing by 3[tex] \pi [/tex] on both sides
we get
h = 4
The height of the cone is 4 inches.
