MathematicsA rectangular tank has a base that is 10 cm by 5 cm and a height of 20 cm. If the tank is half full of water, by how many centimetres will the water level rise if 325 cm3 are poured in the tank?

A rectangular tank has a base that is 10 cm by 5 cm and a height of 20 cm. If the tank is half full of water, by how many centimetres will the water level rise if 325 cm3 are poured in the tank?

A
6.5 cm
B
7 cm
C
8 cm
D
10 cm

Solution:

The volume of the half -filled tank
=l

\times

\times

(

\frac{n}{2}

)
=10

\times

\times \frac{20}{5}

=500 cm3

Now water is added to the tank , and the volume of water increase
V1 = v+325
= 500+325
= 825 cm3
V1 = l

\times

\times

h
825 = 10

\times

\times

x
X = 16.5 cm
Now increase in level = 16.5 cm -10cm
= 6.5 cm.

Related content

Area of Square

Area of Isosceles Triangle

Pythagoras Theorem

Triangle Formula

Perimeter of Triangle Formula

Area Formulae

Volume of Cone Formula

Matrices and Determinants_mathematics

Critical Points Solved Examples

Type of relations_mathematics