BE QUICK GIVING BRAINIEST A cylinder with a diameter of 24 inches and a height of 8 inches has the same volume as a cone with a diamet

Question

BE QUICK GIVING BRAINIEST
A cylinder with a diameter of 24 inches and a height of 8 inches has the same volume as a cone with a diameter of 12 inches.
What is the height of the cone?
A. 4 Inches
B. 16 inches
C. 48 inches
D. 96 Inches

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Jezebel 4 years 2021-07-29T20:47:03+00:00 2 Answers 18 views 0

Answers ( )

  1. Latifah
    0
    2021-07-29T20:48:40+00:00
    Reply

    It’s 16 inches I my sister did this

  2. thienhuong
    0
    2021-07-29T20:48:42+00:00
    Reply

    Answer:

    D. 96 inches.

    Step-by-step explanation:

    Radius of cylinder = 1/2 * 24 = 12 inches.

    Radius of the cone = 1/2 * 12 = 6 inches.

    Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h

    So pi 12^2 * 8 = 1/3 pi * 6^2 * h

    1152 pi = 12 pi h

    h = 1152/12

    h = 96 inches.

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