Two types of water tankers are available in a shop at same cost one is in a cylindrical form of diamter 3.5 and height 2m and another is in the form of a sphere of diamter 3m . calculate the volumes of both tankers. the shop keeper advises to purchase cylindrical tanker . what value is depicted by the shop keeper
Answers
Volume of the cylinder= 22/7*3.5/2*3.5/2*2 Volume of the cylinder= 11*0.5*3.5
Volume of the cylinder= 19.25m³.
Volume of the sphere= 4/3πr³.
Volume of the sphere= 4/3*22/7*3/2*3/2*3/2
Volume of the sphere= 99/7
Volume of the sphere= 14.14m³(approx.)
Volume of the cylindrical tanker =πr²h
= 22/7*3.5/2*3.5/2*2
= 11*0.5*3.5
= 19.25m³
Volume of the spherical tanker = 4/3πr³.
= 4/3*22/7*3/2*3/2*3/2
= 99/7
= 14.14m³(approx.)
As the cost of both tankers is the same while the volume of cylindrical container is greater than that of spherical container, and the shopkeeper advises them to buy the cylindrical tanker thus it shows the value shown by the shopkeeper is that of genuinity.
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