Answer:
[tex]V_{cylinder}=251.2\ in^3,[/tex]
[tex]V_{cone}=251.2\ in^3,[/tex]
[tex]V_{cylinder}=V_{cone}.[/tex]
Step-by-step explanation:
The volume of the cylinder is
[tex]V_{cylinder}=\pi r^2 h,[/tex]
where r is the radius of a base circle and h is the cylinder's height.
If cylinder has diameter of 8 inches, then its radius is 4 inches. The height of the cylinder is 5 inches. Thus, the volume of the cylinder is
[tex]V_{cylinder}=3.14\cdot 4^2\cdot 5=251.2\ in^3.[/tex]
The volume of the cone is
[tex]V_{cone}=\dfrac{1}{3}\pi r^2 h,[/tex]
where r is the radius of a base circle and h is the cone's height.
If cone has diameter of 8 inches, then its radius is 4 inches. The height of the cone is 15 inches. Thus, the volume of the cone is
[tex]V_{cylinder}=\dfrac{1}{3}\cdot 3.14\cdot 4^2\cdot 15=251.2\ in^3.[/tex]
As you can see the cylinder and the cone have the same volume.
COOL PEOPLE COOL ANSWERS AND COOL ANSWERS ARE ALWAYS CORRECT SO CHECK THIS OUT!!!! NO DELETING ANSWERS
pi r2h = cylinder
(3.14)(4)2(5)
(3.14)(16)(5)
(50.24)(5)
251.2=V of cy
CONE:
1/3 pi r2h
1/3(3.14)(4)2(15)
(1.47)(16)(15)
(23.52)(15)
352.8=V of cone
