Question

A soft drink is available in two packs-(i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

Answer 1

Given data is as follows:

(i) For tin can with rectangular base:

Length = 5 cm

Width = 4 cm

Height = 10 cm

(ii) For plastic cylinder with circular base

Diameter = 7 cm

Height = 10 cm

We have to find out which container has greater capacity and also the difference in their capacities.

(i) Volume of tin can = `"lenght" xx "breagth" xx "height"`

=  `5xx4xx10`

=200 `cm^3`

(ii) Volume of cylinder =  `pir^2h`

Diameter is given as 7cm. Therefore, r = `7/2`

Volume of cylinder = `22/7 xx 7/2xx7/2xx10`

= 385 cm³

From the above it can be concluded that plastic cylinder has greater capacity.

Difference in their capacities = 385 – 200 = 185 cm³