Q5 of 32 Page 267

A container shaped like a right circular cylinder having diameter 12 cm. and height 15 cm. is full of ice cream. The ice-cream is to be filled into cones of height 12 cm. and diameter 6 cm., having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.


Given that, diameter(d) of cylindrical container is 12 cm and height(h) is 15 cm. and, diameter(D) of cone is 6cm and height(H) is 12 cm


We know that,


⇒ radius of cylinder(r)


And, radius of cone(R)


⇒ volume of container = πr2h



= 540π


⇒ vol. of 1 such cone = vol.of cone + vol. of hemisphere




= 54π


⇒ the number of such cones which can be filled with ice cream




= 10


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