Question

A cylindrical container of radius 6cm and height 15 cm is filled with ice cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is 4 times the radius of its base , find the radius of the ice cream cone ?

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Answer 1

Here is the figure

Given, Radius of cylindrical container =6cm

Height of cylindrical container =15cm

Volume of cylinder =πr²h

=π×36×15

=540πcm³

Now, as it has to be divided among 10 children

∴ Dividing volume by 10= 540/10 =54πcm³

Volume of cone + Volume of hemispherical top = Volume of ice-cream in it.

⇒

1/3πr²h + 2/πr³ = 54π

1/3πr²(4r) + 2/3πr³ = 54π

1/3πr³(4+2) =54π

2r³ =54

r=3

Hence, the radius of icecream cone=3 cm

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Answer 2

Step-by-step explanation:

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