Jiwesh
contestada

(A person bought a water
tank of circular base having the radius 10.5 m and height
21 m for the use of his community from the 'Gyani Tank
Factory'. If the upper part of the tank is semi spherical,
how many litre of water will be contained in the tank?)​

Respuesta :

Answer:

About [tex]9,693,180\ liters[/tex]

Step-by-step explanation:

we know that

The volume of the tank is equal to the volume of a cylinder plus the volume of hemisphere

so

[tex]V=\pi r^{2}h+\frac{2}{3}\pi r^{3}[/tex]

where

[tex]r=10.5\ m\\h=21\ m\\\pi=3.14[/tex]

substitute

[tex]V=(3.14)(10.5)^{2}(21)+\frac{2}{3}(3.14)(10.5)^{3}[/tex]

[tex]V=7,269.885+2,423.295=9,693.18\ m^3[/tex]

Convert to liters

[tex]1\ m^3=1,000\ L[/tex]

therefore

The volume is equal to

[tex]9,693.18(1,000)=9,693,180\ liters[/tex]