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ICSE Class 10 Answered

A solid cone of base radius10 cm is cut into two parts through the mid point of its height,bya plane parallel to its base.Find the ratio in the volumes of the two parts of the cone
Asked by anil | 21 Feb, 2018, 06:50: PM
answered-by-expert Expert Answer
begin mathsize 16px style the space total space height space be space straight H
the space cone space will space be space divided space into space 2 space parts
straight a space cone space and space frustum
let space straight h space be space height space of space small space cone
straight h over straight H equals 1 half equals straight r over straight R
volume space of space frustum equals 1 third πR squared straight H minus 1 third πr squared straight h........ open square brackets 1 third πr squared straight h equals 1 third cross times 1 over 8 πR squared straight H close square brackets
equals 1 third πR squared straight H cross times 7 over 8
ratio equals fraction numerator 1 third πR squared straight H cross times 7 over 8 over denominator 1 third cross times 1 over 8 πR squared straight H end fraction equals 7 colon 1..................... left parenthesis frustum colon cone right parenthesis
end style
Answered by Arun | 21 Feb, 2018, 07:10: PM
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