The water for a factory is stored in a hemispherical tank whose intern

1.	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.
Answer» Given: Internal diameter of hemispherical tank = 14 m Internal radius of hemispherical tank = 14/2 - 7 m Tank contains 50kl = 50m³ of water (since, 1kl = 1m³) Volume of a hemispherical tank = 2/3 πr³ Where π = 22/7 r = radius of hemispherical tank Thus, Volume of hemispherical tank = 2/3 x 22/7 x (7)³ = 2156/3 = 718.66 m³ Volume of water pumped into the tank = Volume of hemispherical tank – 50m³ Volume of water pumped into the tank = 718.66 – 50 = 668.66 m³

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.

Answer»

Given: Internal diameter of hemispherical tank = 14 m

Internal radius of hemispherical tank = 14/2 - 7 m

Tank contains 50kl = 50m³ of water (since, 1kl = 1m³)

Volume of a hemispherical tank = 2/3 πr³

Where π = 22/7

r = radius of hemispherical tank

Thus,

Volume of hemispherical tank = 2/3 x 22/7 x (7)³

= 2156/3

= 718.66 m³

Volume of water pumped into the tank = Volume of hemispherical

tank – 50m³

Volume of water pumped into the tank = 718.66 – 50 = 668.66 m³