A particular brand of talcum powder is available in two packs, a plastic can with a square base of side 5 cm and of height 14 cm, or one with a circular base of radius 3.5 cm and of height 12 cm. Which of them has greater capacity and by how much?

In the above given question,

In order to find the greater capacity pack


At first, we’ll calculate the volume of the cubic pack,


Length of the side of pack, a = 5cm


Height of the pack, h = 14cm


Hence,


Volume of the pack = a2h


= (5)2(14)


= 5× 5 × 14


= 350 cm3


Now,


We’ll calculate the volume of the cylindrical pack,


Radius of the base, r = 35cm


Height of the cylinder, h = 12 cm


Hence,


Volume of the pack =


=


= 22× 5× 35× 12


= 462 cm3


Hence,


It’s clear that the pack with the circular has a greater capacity than the than the pack with square base.


And,


The deference between their volume= 462 – 350


= 112 cm3


12