A powder is available in two packs, a tin pack with
square base of each side 5 cm and having height 12
or one with a circular base of radius 3.5 cm and have
height 10 cm. Which of them has greater capacity and
how much?
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Answer:
Step-by-step explanation:
One tin has a square base with side 5cm and height of 12cm
area of height can also be written as L x B (because we need volume of tin)
Therefore, volume of the cuboid = L x B x H
= 5 x 5 x 12
= 25 x 12
= 300
Therefore, the volume of tin is 300cubic.cm
Another tin has a circular base.
Radius of base = 3.5cm
Height = 10cm
Therefore, the tin is cylindrical in shape.
Volume of cylinder = πr²h
= 22/7 x (3.5)^2 x h
= 22/7 x 12.25 x 10
= 22 x 1.75 x 10
= 38.50 x 10
= 385
Therefore, the volume of the tin is 385cubic.cm
Therefore, the tin with circular base has greater capacity.
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