The volume of a right cylinder is 7,448 cubic centimeters. The diameter of the base of the cylinder is 28 centimeters. What is the height, i

Question

The volume of a right cylinder is 7,448 cubic centimeters. The diameter of the base of the cylinder is 28 centimeters. What is the height, in centimeters, of the cylinder?

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Cora 2 weeks 2021-11-23T15:48:46+00:00 1 Answer 0

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    2021-11-23T15:49:48+00:00

    Answer:

    The height of the cylinder is 12.1 cm approximately.

    Step-by-step explanation:

    Given:

    The volume of a right cylinder = 7,448 cubic centimeters.  

    The diameter of the base of the cylinder = 28 centimeters.

    To find:

    The height(in centimeters)of the cylinder=?  

    Solution:

    we know that, volume of cylinder = πr2h …………………(1)

    where

    r is radius of base

    h is height of the cylinder.

    Here, in our problem,

    volume= 7448 cubic cm ,

    radius = \frac{diameter }{2}= \frac{28}{2} = 14 cm

    Substituting these values in the equation(1)

    7448 = \pi \timesx (14)^2 h

    h = \frac{7448}{196}\times\pi

    height=\frac{38}{\pi }

    height=12.09

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