A soft drink is available in two packs- (i) a tin can with a rectangul

1.	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 of diameter 7 cm and height 10 cm, Which container has greater capacity and by how much?
Answer» (i) Dimensions of a cubical tin can: Length (l) = 5 cm Breadth (b) = 4 cm Height (h) = 15 cm Capacity of the tin can = Volume of Tin Can = l x b x h cubic units = (5 x 4 x 15) cm³ = 300 cm³ (ii) Radius of the circular end of the plastic cylinder (R) = diametr/2 = 7/2 cm = 3.5 cm Height of plastic cylinder (H) = 10 cm Capacity of plastic cylinder = Volume of cylindrical container = πR²H = 22/7 x (3.5)² x 10 cm³ = 385 cm³ From (i) and (ii) results, the plastic cylinder has greater capacity. Difference in capacity = (385 – 300) cm³ = 85 cm³

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 of diameter 7 cm and height 10 cm, Which container has greater capacity and by how much?

Answer»

(i) Dimensions of a cubical tin can:

Length (l) = 5 cm

Breadth (b) = 4 cm

Height (h) = 15 cm

Capacity of the tin can = Volume of Tin Can

= l x b x h cubic units

= (5 x 4 x 15) cm³

= 300 cm³

(ii) Radius of the circular end of the plastic cylinder (R) = diametr/2

= 7/2 cm

= 3.5 cm

Height of plastic cylinder (H) = 10 cm

Capacity of plastic cylinder = Volume of cylindrical container = πR²H

= 22/7 x (3.5)² x 10 cm³

= 385 cm³

From (i) and (ii) results, the plastic cylinder has greater capacity.

Difference in capacity = (385 – 300) cm³

= 85 cm³