Aptitude Discussion

Q. |
A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights. |

✖ A. |
$1:2$ |

✔ B. |
$2:1$ |

✖ C. |
$3:1$ |

✖ D. |
$3:4$ |

**Solution:**

Option(**B**) is correct

Volume of the cone

\(=\dfrac{\pi r^2 h}{3}\)

=Volume of a hemisphere

\(=\dfrac{2\pi r^3}{3}\)

$\Rightarrow$ Height of a hemisphere = Radius of its base

By the above formula, we can see that $h:r=2:1$

**Edit:** A typo in the question has been corrected after it was pointed out by **Nikki.**

**Nikki**

*()
*

Thank you, Nikki, for pointing out the typo. Corrected it.

it is not buses but bases.. please correct the question