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?
Answers
Answer:
can with circular base has more capacity
by 85 cu. cm
Given : 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.
(i) For 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 , V = l x b x h
V = (5 x 4 x 15)
V = 300 cm³
Volume of Tin Can = 300 cm³ …………….(1)
(ii) For a plastic cylinder with circular base :
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 , V = πr²h
V = 22/7 × (3.5)² × 10
V = 385 cm³
Volume of cylindrical container = 385 cm³ ……………..(2)
From eq (1) and (2) , we see that the volume of a plastic cylinder with circular base has a greater capacity and its capacity is (385 – 300) cm³ = 85 cm³ more than the tin can.
Hence, the volume of a plastic cylinder with circular base has a greater capacity by 85 cm³ .
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