cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inches. Use pi = 3.14. What is the re
Question
Use pi = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
2 Answer

1. User Answers frika
Answer:
[tex]V_{cylinder}=251.2\ in^3,[/tex]
[tex]V_{cone}=251.2\ in^3,[/tex]
[tex]V_{cylinder}=V_{cone}.[/tex]
Stepbystep 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.

2. User Answers danyaltq
COOL PEOPLE COOL ANSWERS AND COOL ANSWERS ARE ALWAYS CORRECT SO CHECK THIS OUT!!!! NO DELETING ANSWERS
Stepbystep explanation:
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
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UNIQUE ANSWER!!
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