Question

29. A conical vessel with radius 20 cm and height 30 cm is full of water. The water of the vessel is transferred to cylindrical vessel of radius 8 cm. Find up to what height will the cylindrical vessel fill.

Answer 1

Volume of water in conical vessels= πr²h/3
                                                   = π* 20²*30/3
                                                   = π*4000 cm²
The watered is transfered to cylindrical vessel R=8cm and height=H
Then πR²*H = π*4000
      ⇒  8²*H = 4000
               H = 62.5 cm
It will fill to the height of 62.5cm

Answer 2

volume of water = π 20² 30 / 3 = 4000π cm³
height in cylinder = H
so  π 8² H = 4000 π
   H = 4000/64 = 62.5 cm