A particular brand of talcum powder is available in two packs,a plastic can with a square base of side 5cm and of heights 14cm,or one with a circular base of radius 3.5cm and of height 12cm.which of them has greater capacity and by how much?
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find volume of both the cans then which has greater value then its capacity will be more
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In first case a plastic can with a square base of side 5cm and height of 14 cm.
It is like a cuboid.
Volume of cuboid = Area of base x Height = (length x breadth) x height = (5 x 5) x 12 = 25 x 14 = 350 cm3 .
In second case circular base of radius 3.5cm and of height 12cm.
It is like a cylinder with base radius r = 3.5cm and length = 12 cm
Volume of cylinder = Area of Base * Height = πr2h = (22/7) x 3.5 x 3.5 x 12 = 462 cm3 .
Since volume of second container is more , so it has more capacity and it is 462 cm3 .
It is like a cuboid.
Volume of cuboid = Area of base x Height = (length x breadth) x height = (5 x 5) x 12 = 25 x 14 = 350 cm3 .
In second case circular base of radius 3.5cm and of height 12cm.
It is like a cylinder with base radius r = 3.5cm and length = 12 cm
Volume of cylinder = Area of Base * Height = πr2h = (22/7) x 3.5 x 3.5 x 12 = 462 cm3 .
Since volume of second container is more , so it has more capacity and it is 462 cm3 .
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