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 A Cone and a Sphere (Posted on 2018-09-07)
A sphere has a radius of 10 cm. A right circular cone has a height of 10 cm and base diameter of 10 cm. The sphere and the cone stand on a horizontal surface. If a horizontal plane cuts both the sphere and the cone, the cross-sections will both be circles.

Find the height of the horizontal plane (from the bottom) (in cm) that gives circular cross-sections of the sphere and cone of equal area.

 No Solution Yet Submitted by Danish Ahmed Khan No Rating

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 re(2): solution | Comment 5 of 6 |
(In reply to re: solution by Steven Lord)

I agree. Unless I have misunderstood his solution, Charlie has assumed a cone radius of 10, rather than a cone diameter of 10 (with a radius of 5). Using Charlie's method, but the correct radius, his answer agrees with yours.

Edited on September 7, 2018, 11:26 pm
 Posted by broll on 2018-09-07 23:22:53

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