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

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