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The height of a cone is 60cm. A small cone is cut off at the top of by a plane parallel to its base. If its volume is 1/64 of volume of the cone, at what height above the base is the section made?

A. 

23cm

B. 

15cm

C. 

20cm

D. 

17cm

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Answer with explanation

Answer: Option B

Explanation

(⅓ * π * r1^2 * h1 )/ (⅓ π * r^2 * h) / 1/64
(r1/r)^2 * h1/h = 1/64
(h1/h) ^3 = (¼)^3 ( r1/r = h1/h)
h1 = ¼ * 60=15

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