Question

30. Two types of water tankers are available in a shop. One is in a cubic form of dimensions 1 m x 1 m x 1 m and another is in the form of cylindrical form of diameter 1 m and height is also 1 m. The shopkeeper advises to purchase cuboid tank to a customer. (i) Calculate the volume of the both tankers. (ii) Which value is depicted by the shopkeeper?

Answer 1

1-volume of cube=1*1*1m³=1m³
volume of cylinder=πr²h=22/7*0.5*0.5*1
=22/7*1*1=3.142m³
2-cylinder tanker is depicted u draw

Answer 2

Answer:

i) $V_c=1 m^3$ and $V_C=0.785m^3$

ii) shopkeeper is honest and and gave good advise.

Step-by-step explanation:

Given : Two types of water tankers are available in a shop. One is in a cubic form of dimensions 1 m x 1 m x 1 m and another is in the form of cylindrical form of diameter 1 m and height is also 1 m. The shopkeeper advises to purchase cuboid tank to a customer.

To find : (i) Calculate the volume of the both tankers.

(ii) Which value is depicted by the shopkeeper?

Solution :

i) Dimension of a cube is 1 m × 1 m × 1 m

Volume of the cube is

$V=a\times a\times a$

$V=1\times 1\times 1$

$V_c=1 m^3$

Dimension of the cylinder is

diameter d=1 m and radius r=1/2 m, height of the cylinder is h=1 m.

The volume of the cylinder is

$V=\pi r^2 h$

$V=3.14\times (\frac{1}{2})^2 \times 1$

$V_C=0.785m^3$

ii) The volume of cubical tank is more than that of cylinder.

So, shopkeeper is honest and and gave good advise.