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.
Solution:
Let number of cones which can be filled = n
Diameter of cylinder
cm
Radius of cylinder
cm
Height of cylinder
cm
Volume of cylinder
Diameter of cone
cm
Radius of cone
cm
Height of cone
cm
Volume of Cone
Radius of hemispherical top of the cone
cm
Volume of hemispherical top
According to given condition we have:
(Volume of Cone + Volume of Hemispherical top) = Volume of Cylinder
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