A cone of radius 5 cm is filled with milk. If the milked is poured into a cylinder of radius 10cm , the height of the milk ri ses by 2cm. Height of the cone is ?
  1. 20cm
  2. 22cm
  3. 24cm
  4. 26cm

Asked by sucharitasahoo1 | 26th Dec, 2017, 05:29: PM

Expert Answer:

begin mathsize 16px style Radius space of space straight a space cone equals space straight r equals 5 space cm
Radius space of space straight a space cylinder equals space straight R equals 10 space cm
Let space straight h space be space the space height space of space the space cone.
Height space of space the space cylinder space is space 2 space cm.
Volume space of space straight a space cone equals Volume space of space cylinder
fraction numerator straight pi cross times 5 squared straight h over denominator 3 end fraction equals straight pi cross times 10 squared cross times 2
fraction numerator 25 straight h over denominator 3 end fraction equals 200
straight h equals fraction numerator 200 cross times 3 over denominator 25 end fraction
straight h equals 24 space cm
Height space of space cone space is space 24 space cm.

end style

Answered by Sneha shidid | 27th Dec, 2017, 11:51: AM