# Volume of Water

## Amount of water inside the horizontal cylindrical tank

**Problem**

A closed cylindrical tank measures 12 ft. long and 5 ft. in diameter. It has to contain water to a depth of 3 ft when lying in the horizontal position. Find the depth of water when it is in vertical position.

## 017 Review Problem - Amount of water to fill the large network of city pipes

**Problem 17**

Assuming that a city has 400 miles of water pipes and that the average diameter of the pies is 1 ft., how much water is required to fill this entire system?

## 013 Review Problem - Volume of water inside the Venturi meter

**Problem 13**

The accompanying figure represents the longitudinal view of a Venturi meter, a device designed to measure the flow of water in pipes. If the throat of the of the meter is 6 in. long and has an inside diameter of 4 in., find the volume of water in the meter which is used in 12-in. pipe line if the altitudes of the tapering parts are in the ratio 1:3 and the smaller altitude measures 12 in.

## 015 Two unequal balls inside the cylinder

**Example 015**

Two balls, one 15 cm in diameter and the other 10 cm in diameter, are placed in a cylindrical jar 20 cm in diameter, as shown in Figure 014. Find the volume of water necessary to cover them.

## 014 Water poured into a jar of marbles

**Example 014**

A boy who had discovered that 20 mm marbles fitted snugly into the bottom of a cylindrical jar, dropped in a fourth on top of the three and poured water enough into the jar to just cover them. How much water did he use?