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A perfect sphere is inscribed inside a right circular cone (60 degrees vertex). Find the ratio of the volume of the sphere to the cone.

 Jan 3, 2020
edited by hellospeedmind  Jan 3, 2020
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Let r be the radius of the sphere.  Then the volume of the sphere is 4/3*pi*r^3 and the voluem of the cone is 1/3*pi*(2r)^2*3r = 4*pi*r^3, so the ratio is 1/3.

 Jan 3, 2020
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A perfect sphere is inscribed inside a right circular cone which has a vertex angle of 60 degrees. Find the ratio of the volume of the sphere to volume of the cone.

laugh

 Jan 3, 2020
edited by Omi67  Jan 3, 2020
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Thank you for your solution.

smiley

hellospeedmind  Jan 3, 2020

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