A powder is available in two packs-a tin can with a square base of each side 5cm and having height 14cm

Question

A powder is available in two packs-a tin can with a square base of each side 5cm and having height 14cm or one with a circular base of radius 3.5cm and having height 14cm or one with a circular base of radius 3.5cm and having height 12cm. Which of them has greater capacity and by how much?

Answer 1

Mohammed,

Your question has 2 different heights for the circular based tin pack(12 cm and 14 cm), I will use 12 cm as the height. You can change the answer if the correct height is 14 cm.

 

Capacity of the square based tin can is same as its volume and is given by the formula: (1/3)b^2h, where b is the length of a side and h is height

In this case it is (1/3)*5*5*14 = 116.67 cu. cm

 

The Capacity of circular based tin can is (1/3)pi(r)^2h where r is teh radius

In this case it is (1/3)*pi*3.5*3.5*12 = 153.94 cu cm

 

So the circular based tin can has more capacity by 37.27 cu cm