Home
Class 9
MATHS
The horizontal cross-section of a water ...

The horizontal cross-section of a water tank is in the shape of a rectangle with a semicircle at one end, as shown in fig. 18.20. The water is 2.4m deep in tank. Calculate the volume of the water in gallons.

Text Solution

Verified by Experts

Here, Area of water tank = Area of rectangle+ Area of semicircle
`:.` Area of tank,`A = (21**7)+(1/2**22/7**7/2**7/2)`
`A = 147+77/4 = 166.25 m^2`
As, water tank is `2.4` m deep in tank.
`:.` Volume of tank, `V = 166.25**2.4 = 399m^3`
Volume of tank in litres ` = 399**1000 = 399000`
Volume of tank in gallons`= 399000/3.78 = 105555.55` gallons
Promotional Banner

Similar Questions

Explore conceptually related problems

A water tank is 1.4 m long, Im wide and 0.7m deep. Find the volume of the tank in litres.

A plastic water tank in a place in the shape of a rectangular prism' with length 6 metre. Breadth 4 m and depth 3 m . There is water at a height of 1 m in this tank. a) How many liter of water in it? b) How many litres of water needed. to fill the tank?

If the dimensions of water tank are 12.5m,4m,6m, then the volume of water it can hold in litres is

Half of a cuboidal water tank with length of 2· 1 m and breadth of 1·5 m is filled with water. If 630 litres water is poured more into the tank, then calculate the depth of water that will be increased by.

The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kL of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kL of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

A long cylindrical tank of cross-sectional area 0.5m^(2) is filled with water. It has a small hole at a height 50cm from the bottom. A movable piston of cross-sectional area almost equal to 0.5m^(2) is fitted on the top of the tank such that it can slide in the tank freely. A load of 20 kg is applied on the top of the water by piston, as shown in the figure. Calculate the speed of the water jet with which it hits the surface when piston is 1m above the bottom. (Ignore the mass of the piston)

A long cylindrical tank of cross-sectional area 0.5m^(2) is filled with water. It has a small hole at a height 50cm from the bottom. A movable piston of cross-sectional area almost equal to 0.5m^(2) is fitted on the top of the tank such that it can slide in the tank freely. A load of 20 kg is applied on the top of the water by piston, as shown in the figure. Calculate the speed of the water jet with which it hits the surface when piston is 1m above the bottom. (Ignore the mass of the piston)