Answer:
[tex]V_2 = 583.67[/tex]
Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the cone with V2.
So:
[tex]V_1 = 1751[/tex]
Required
Find V2
The volume of a cylinder is:
[tex]V_1 = \pi r^2h[/tex]
Because the cone and the cylinder have the same base area and height, the volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Substitute [tex]V_1[/tex] for [tex]\pi r^2h[/tex].
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
[tex]V_2 = \frac{1}{3}V_1[/tex]
Substitute 1751 for V1
[tex]V_2 = \frac{1}{3} * 1751[/tex]
[tex]V_2 = \frac{1* 1751}{3}[/tex]
[tex]V_2 = \frac{1751}{3}[/tex]
[tex]V_2 = 583.67[/tex]
The volume of the cone is 583.67 cubic units
