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# 3D Geometry

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A sphere is inscribed in a right cone with base radius 12 cm and height 24 cm, as shown. The radius of the sphere can be expressed as $$a\sqrt{c}-a$$ cm. What is the value of a+c?

Feb 24, 2020

#1
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The radius of the sphere is 6*sqrt(5) - 6, so a + c = 5 + 6 = 11.

Feb 24, 2020
#2
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What is the value of a+c?

Feb 24, 2020
#3
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Thank you Guest and Omi67!

Feb 25, 2020