1.

Volume of a conical water tank is 864 cubic meter. If the diameter of the base is 14 m, what will its height be?

Answer»

Given :-  

  • Volume of a conical water tank is 864 cubic meter.  
  • If the diameter of the base is 14 m

To Find :-  

  • what will its height be?

SOLUTION :-  

~Here, we’re given the volume of a conical tank and it’s diameter. From the given diameter we can find the radius and then the height of the conical tank by applying the FORMULA of volume of a cone.  

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As we know that ,  

\sf \bigstar \;\; Radius = \dfrac{Diameter}{2}  

\sf \bigstar \;\; Volume\;of\;cone = \dfrac{1}{3} \times ( \pi r^{2} h )  

Where,  

  • h is height  
  • r is radius  

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Finding the Radius :-  

\sf \implies \dfrac{14}{2}

\sf \leadsto 7\; m 

Finding the height :-  

\sf \implies 864\;m^{3} = \dfrac{1}{3} \times \dfrac{22}{7} \times 7 \times 7 \times h 

\sf \implies 864 = \dfrac{154}{3} \times h

 

\sf \implies h = 864 \times \dfrac{3}{154}

 \sf \leadsto h = 16.83 \; m

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HENCE,

  • Height of the conical tank is 16.83 m  

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