A particular brand of talcum powder is available in two packs, a plast

1.	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?
Answer» 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 = 5 cm 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 = 35 cm Height of the cylinder, h = 12 cm Hence, Volume of the pack = \(\pi r^2h\) = \(\frac{22}{7}\times35\times35\times12\) = 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

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?

Answer»

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 = 5 cm

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 = 35 cm

Height of the cylinder, h = 12 cm

Hence,

Volume of the pack = \(\pi r^2h\)

= \(\frac{22}{7}\times35\times35\times12\)

= 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