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.

568.67 m^{3}

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668.67 m^{3}

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648.67 m^{3}

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688.67 m^{3}

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Solution

The correct option is A $668.67 m^{3}$
Radius of hemispherical tank, $r = 7$ m
So volume of water to be pumped $=$ Volume of hemispherical tank $- 50$ kl
$∵ 1 k l = 1 m^{3}$
$\Rightarrow \frac{2}{3} π r^{3} - 50 m^{3}$
$\Rightarrow \frac{2}{3} \times \frac{22}{7} \times {(7)}^{3} - 50 m^{3}$
$\Rightarrow 718.67 - 50 m^{3}$
$\Rightarrow 668.67 m^{3}$
Hence, option B is correct.

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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 correct option is A 668.67 m3Radius of hemispherical tank, r=7 mSo volume of water to be pumped = Volume of hemispherical tank −50 kl∵1 kl=1 m3⇒23πr3−50 m3⇒23×227×(7)3−50 m3⇒718.67−50 m3⇒668.67 m3Hence, option B is correct.

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.