Question

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 inches.

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.

Answers

  1. The volume of the cylinder and the cone is equal

    Volume of a cylinder and a cone

    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: https://brainly.com/question/971817
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