The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilolitres of water. Water is pumped into the tank to fill its capacity. Calculate the volume of water pumped into the tank.
Solution:
Given, water 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 up to its full capacity.
We have to find the volume of water pumped into the tank.
Internal radius, r = 14/2 = 7 m
Quantity of water in the tank = 50 Kilo litres = 50(1000) = 50000 litres
We know, 1 m³ = 1000 litres
Volume of water in the tank = 50000/1000
= 50 m³
Volume of hemisphere = 2/3 πr³
= 2/3 (22/7)(7)³
= 2/3 (22)(49)
= 44(49)/3
= 2156/3
= 718.67 m³
Volume of water pumped into the tank = volume of water in the hemispherical tank - volume of water in the tank
= 718.67 - 50
= 668.67 m³
Therefore, the volume of water pumped is 668.67 m³
✦ Try This: The water for a factory is stored in a hemispherical tank whose internal diameter is 36 m. The tank contains 80 kilolitres of water. Water is pumped into the tank to fill its capacity. Calculate the volume of water pumped into the tank.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13
NCERT Exemplar Class 9 Maths Exercise 13.4 Problem 4
The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilolitres of water. Water is pumped into the tank to fill its capacity. Calculate the volume of water pumped into the tank.
Summary:
The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilolitres of water. Water is pumped into the tank to fill its capacity. The volume of water pumped into the tank is 668.67 m³
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