Question

A soft drink is available in two packs : (i) a tin can with a rectangular base of length 6 cm and width 5 cm, having a height of 20 cm and (ii) a cylindrical tin with circular base of radius 3.5 cm and height 20 cm. Which container has greater capacity and by how much amount ?

Answer 1

Answer:

Capacity of cylindrical tin is more than by rectangular tin by 170 c-cm.

Step-by-step explanation:

1) A tin container is actually the shape of cuboid.

$\boxed{volume \: of \: cuboid = l \times b \times h}$

l = 6 cm

b = 5 cm

h= 20 cm

$V_{cuboid} = 6 \times 5 \times 20 \\ \\ = 30 \times 20 \\ \\ = 600 \: {cm}^{3}$

2) For second case

$\boxed{volume \: of \: cylinder = \pi \: {r}^{2} h}$

r= 3.5 cm

h=20 cm

$V_{cylinder} = \frac{22}{7} \times 3.5 \times 3.5 \times 20 \\ \\ = 22 \times 0.5 \times 3.5 \times 20 \\ \\ = 770 \: {cm}^{3}$

As it is clear that cylindrical container has more capacity.

Difference of capacity:

$= 770 - 600 \\ \\ = 170 \: {cm}^{3}$

Hope it helps you.