6. A soft drink is available in two types of packs: a tin can with a rectangular base 8 cm x 6 cm and height 12 cm, and another cylindrical can with a circular base of diameter 7 cm and height 15 cm. Which container should be bought if both are available for the same price?
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Solution
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(i). Given, Length=5cm,
Width=4cm,
Height =15cm
V=l×b×h
=5×4×15=300cm
3
(ii). Given, Diameter =7cm,
Height=10cm,
π=
2
7
Volume =πr
2
h
=
7
22
×
2
7
×
2
7
=77×5=385cm
3
Difference =385cm
3
−300cm
3
=85cm
3
.
Hence, Cylinder container has greater capacity by 85 cubic cm.
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Formula Used:
Volume of cuboid = (length )(breadth)(height)
Volume of cylinder = pie r^2
Solution:
Hence, Cylindrical can should be bought because it contains more soft drink.
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