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CBSE Class 9 Answered

How many solid spheres of diameter 6 cm can be cast out of a solid cylinder with radius of the base 9 cm and height 40 cm? .
Asked by Topperlearning User | 07 Apr, 2014, 10:24: AM
answered-by-expert Expert Answer

For a sphere, diameter = 6 cm rightwards double arrowradius (R) = 3 cm

Now, Volume of sphere = 4 over 3 πR cubed

For cylinder, radius (r) = 9 cm, height (h) = 40 cm

Now, Volume of cylinder =

No. of solid spheres =


=fraction numerator πr squared straight h over denominator begin display style 4 over 3 end style πR cubed end fraction equals fraction numerator 3 r squared straight h over denominator 4 R cubed end fraction equals fraction numerator 3 cross times 9 cross times 9 cross times 40 over denominator 4 cross times 3 cross times 3 cross times 3 end fraction equals 90 space s p h e r e s

Answered by | 07 Apr, 2014, 12:24: PM

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