Question

Right cylindrical container of radius 6cm and height 15cm is full of ice-cream, which has to be distributed to 10 children in equal cones having hemispherical shape on the top. If the height of the conical portion is four times its base radius, find the radius of the ice-cream cone

Answer 1

make volumes equal to get the answer = 3cms

Answer 2

Radius = 6cm

Height = 15cm

Total Ice cream in Cylinder Container = Volume of Cylindrical container = πr²h = 22/7×6×6×15 =1697.14cm³.

Let, the radius of cones be R.

Then,

The height of Cones = 4R.

Radius of hemisphere Portion = R.

Height of hemispherical portion = R.

Volume of Cylindrical container = 10[Volume of Conical portion of Ice cream+ Volume of Hemispherical Portion of Ice cream].

1697.14 = [1/3πr²h + 2/3πr³]

PUT ALL VALUES.U WILL GET THE RADIUS OF ICE CREAM.

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