A 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 inc hes. Use π = 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.
1 answer:
The volume of the cylinder and the cone is equal
<h3>Volume of a cylinder and a cone</h3>
The formula for calculating the volume of a cylinder is expressed as:
V = πr²h
where
r is the radius
h is the height
For the cylinder
r = 8/2 = 4 in
h = 5
Substitute
V = π(4)²*5 V = 80π cubic inches
For the cone
r = 4 in
h = 15in
Substitute
V = 1/3πr^2h
V = 1/3(π)(4)^2 * 15
V = 80π cubic inches
Hence the volume of the cylinder and the cone is equal
Learn more on volume of cylinder and cone here: brainly.com/question/971817
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