Question

a rectangular tank 15 m long and 11m broad is needed to transfer the entire liquid from a full cylindrical tank of internal diameter 21 m and length 5 m. find the least height of the tank that will serve the purpose

Answer 1

The height of tank should be at least 10.5 m

Answer 2

Answer:

10.49 m

Step-by-step explanation:

Let the height of rectangular tank be h

Length of rectangular tank = 15 m

width of rectangular tank  = 11 m

Volume of tank = $Length \times width \times height$

                          = $15\times 11 \times h$

                          = $165 h$

Diameter of cylinder = 21 m

radius of cylinder = Diameter /2 = 21 /2 = 10.5 m

Height of Cylindrical tank = 5 m

Volume of cylindrical tank  = $\pi r^2 h$

                                             = $3.14 \times (10.5)^2 \times 5$    

                                             = $1730.925$    

Since we are given that a rectangular tank is needed to transfer the entire liquid from a full cylindrical tank .

So, Volume will remain same .

So, $165 h= 1730.925$

$h= \frac{1730.925}{165}$

$h=10.490$

Thus the height of the tank that will serve the purpose is 10.49 m