Question

a rectangular water tank of base 11m x 6m contains water upto height of 5m. if the water in the tank of radius 3.5, find how high will be the wate level be in the tank?

Answer 1

volume of cuboidal tank will be equal to volume of cylinderical tank.

Answer 2

Answer:

8.57 m is high will be the water level be in the tank.

Step-by-step explanation:

Given : A rectangular water tank of base 11m x 6m contains water upto height of 5m. if the water in the tank of radius 3.5.

To find : How high will be the water level be in the tank?

Solution :

A rectangular water tank of base 11m × 6m.

The height is 5 m.

The volume of the rectangular tank is

$V=L\times B\times H$

$V_r=11\times 6\times 5$

$V_r=330m^3$

The radius of the tank is r=3.5 m.

Let height of tank be 'h'

The volume of the cylinder be

$V=\pi r^2 h$

$V_c=\frac{22}{7}\times (3.5)^2 h$

$V_c=38.5h$

The volumes are equal

$38.5h=330$

$h=\frac{330}{38.5}$

$h=8.57$

Therefore, 8.57 m is high will be the water level be in the tank.