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CBSE Class 9 Answered

The height of a solid cylinder is 16 cm and the radius of the base is 3.5 cm. Two equal conical holes each of radius 3.5 cm and height 3 cm are cut off from both ends. Calculate the volume of the remaining solid.
Asked by Topperlearning User | 17 Oct, 2017, 01:22: PM
answered-by-expert Expert Answer

Given: Radius of the cylinder = Radius of cone (r) = 3.5 cm

Height of cylinder (H) = 16 cm

Height of cone (h) = 3 cm

Volume of the remaining solid = Volume of cylinder Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. (2 × volume of cone)begin mathsize 12px style Volume space of space the space remaining space solid space equals space πr squared straight H space minus space 2 over 3 πr squared straight h
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space space πr squared space open parentheses straight H space minus 2 over 3 straight h space close parentheses
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 22 over 7 cross times 3.5 cross times 3.5 cross times open parentheses 16 space minus space 2 close parentheses
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 539 space cm cubed end style

Answered by | 17 Oct, 2017, 03:22: PM

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