# Conical Tank

## Ratio of Volume of Water to Volume of Conical Tank

**Problem**

A conical tank in upright position (vertex uppermost) stored water of depth 2/3 that of the depth of the tank. Calculate the ratio of the volume of water to that of the tank.

A. 4/5 | C. 26/27 |

B. 18/19 | D. 2/3 |

## Depth of water in conical tank in upright and inverted positions

**Situation**

A closed conical vessel has a base radius of 2 m and is 6 m high. When in upright position, the depth of water in the vessel is 3 m.

Part 1: What is the volume of water?

A. 22 m^{3}

B. 25 m^{3}

C. 28 m^{3}

D. 32 m^{3}

Part 2: If the vessel is held in inverted position, how deep is the water?

A. 4.53 m

B. 5.74 m

C. 4 m

D. 5 m

Part 3: What is the weight of water in quintals. Unit weight of water is 9,800 N/m^{3}.

A. 263.4

B. 195.4

C. 219.7

D. 247.2