AP ICET 2016 Paper

Question : 77 of 200

Marks: +1, -0

A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The entire ice-cream is divided equally among 10 children in the shape of cones surmounted by hemispherical tops. If the height of the conical ice-cream bowl is twice the diameter of its base, then the base radius of the cone is

5 cm
4 cm
3 cm
2 cm

Validate

Solution:

Volume of 10 Conical bowls = Volume of cylindrical container

⇒10[{1}/{3}πr^{2}(4r)+{2}/{3}πr^{3}]=π(6)^{2}×15

⇒20{r}^{3}=6×6×15

⇒{r}^{3}={6×6×15}/{20}=3^{3}

⇒{r}=3

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