Question

A cylindrical water tank has a diameter of 20 meters and a height of 20 meters. If the tank currently holds 1600 cubic meters of water, what is the approximate depth of the war in the tank?

Answer 1

Correct Question:-

A cylindrical water tank has a diameter of 20 meters and a height of 20 meters. If the tank currently holds 1600 cubic meters of water, what is the approximate depth of the water in the tank?

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Given:-

• A cylindrical water tank has a diameter of 20 meters and a height of 20 meters.

To Find:-

• Depth of the water in the tank if it hold 1600 m³ of tank.

Formula Used:-

• ${\boxed{\bf{Volume\:of\:Cylinder= \pi r^2h}}}$

Solution:-

Firstly,

• Radius = $\sf \dfrac{Diameter}{2}$

• Radius = $\sf \dfrac{20}{2}m$

• Radius = $\sf 10m$

Now,

$\sf :\implies\:Volume\:of\:Water= \pi r^2h$

$\sf :\implies\:1600= \dfrac{22}{7} \times 10^2 \times h$

$\sf :\implies\:1600 \times 7= 2200h$

$\sf :\implies\:h= \dfrac{1600\times 7}{2200}$

$\sf :\implies\:h= \dfrac{16\times 7}{22}$

$\sf :\implies\:h= \dfrac{8\times 7}{11}$

$\sf :\implies\:h= \dfrac{56}{11}$

$\bf :\implies\:h= 5.\overline{09}m$

Hence, The current depth of the water in the tank is 5.09m (approx.).

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