the volume of a cone is 235.5cm squared. if the height is 9 cm, calculate the radius
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Given that vomume of a cone is 235.5 square centimeter.
Given that height of the cone is h = 9 cm
Now we have to find the radius of the cone so we need to apply formula of volume of cone.
[tex] Volume = \frac{1}{3} \pi r^2 h [/tex]
plug the given values:
[tex] 235.5 = \frac{1}{3} \pi r^2 *9 [/tex]
[tex] 235.5 = \pi r^2 *3 [/tex]
[tex] \frac{235.5}{3 \pi} = r^2 [/tex]
[tex] 24.9873260654 = r^2 [/tex]
take square root of both sides.
4.99873244587=r
Hence final answer is approx 5 cm.