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The water for a factory is stored in a hemispherical tank whose internal diameter is 14m.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.

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700.67 k i l o l i t r e s

699.67 k i l o l i t r e s

668.67 k i l o l i t r e s

885.67 k i l o l i t r e s

answer is C.

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Detailed Solution

Given, internal diameter of hemispherical tank = 14m.
We know,
Radius =

Diameter 2

.
Internal radius of the tank

⇒ I n t e r n a l diameter of the tank 2

⇒ 142

⇒

7m
We know, volume of the hemispherical tank is

23 π 3

.
Substitute the values, we get

⇒ 23 × 227 × (7) 3

≈ 718.67 m 3

We know that 1

m 3

=1 kilolitres, so

⇒ 718.67

kilolitres.
So, Volume of the water pumped into the tank = Volume of the tank - Water contained in the tank

⇒ 718.67 − 50

⇒ 668.67

kilolitres
Therefore, 668.67 kilolitres of water pumped into the tank.
Therefore, the correct option is 3.

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