The volume of a cylinder is 20 ft. Which expression represents the volume of a cone with the same base and height as the cylinder?

Question

The volume of a cylinder is 20 ft. Which expression represents the volume of a cone with the same base and height
as the cylinder?
2.43
30 R
20 ft
3
3(20) ft
1 2004

in progress 0
Faith 2 weeks 2021-11-18T14:05:12+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-18T14:06:31+00:00

    Step-by-step explanation:

    We have,

    Volume of cylinder is 20 ft, V_1=20\ ft

    It is required to find the expression that represents the volume of a cone with the same base and height  as the cylinder.

    Let V_2 is volume of cone. The formula of the volume of cylinder and the cone is given by :

    V_1=\pi r^2 h\\\\V_2=\dfrac{1}{3}\pi r^2h

    Dividing the above formulas as :

    \dfrac{V_2}{V_1}=\dfrac{\dfrac{1}{3}\pi r^2h}{\pi r^2 h}\\\\\dfrac{V_2}{V_1}=\dfrac{1}{3}

    V_2=\dfrac{V_1}{3}    

    V_2=\dfrac{20}{3}\ ft

    So, the volume of a cone is \dfrac{20}{3}\ ft.

    0
    2021-11-18T14:06:37+00:00

    Answer:

    b

    Step-by-step explanation:

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