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Question

Right circular cylinder having diameter $$12cm$$ and height $$15cm$$ is full ice-cream. The ice-cream is to be filled in cones of height $$12cm$$ and diameter $$6cm$$ having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.
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Solution

Number of ice cream cones $$=\cfrac { volume\quad of\quad the\quad circular\quad cylinder }{ Volume\quad of\quad one\quad ice-cream\quad cone } =\cfrac { \pi \times 6\times 6\times 15 }{ \cfrac { 1 }{ 3 } \times \pi \times 3\times 3\times 12+\cfrac { 2\pi  }{ 3 } \times { 3 }^{ 2 } } =\cfrac { \pi \times 36\times 15 }{ \cfrac { \pi  }{ 3 } \times (108+54) } =10$$

Mathematics

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