The volume of a cone is 763.02. the radius and height of the cone are equal. What is the radius of the cone?

Question

The volume of a cone is 763.02. the radius and height of the cone are equal. What is the radius of the cone?

in progress 0
Melody 1 hour 2021-10-14T12:03:46+00:00 1 Answer 0

Answers ( )

    0
    2021-10-14T12:05:14+00:00

    Answer:

    The radius of the cone is 9cm

    Step-by-step explanation:

    This problem bothers on the mensuration of solid shapes, a cone

    The volume of a cone is expressed as

    V=1/3(πr²h)

    We were told that the radius r and the height h are equal

    I.e r=h

    Substituting h=r in the formula we have

    V= 1/3(πr²*r)

    V =1/3(πr³)

    To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

    763.02= 1/3(3.142r³)

    763.02= (3.142r³)/3

    763.02*3=3.142r³

    2289.06=3.142r³

    r³=2289.06/3.142

    r³= 728.54

    r= ³√728.54

    r= 8.99cm

    ≈r= 9cm

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )