1.

2. Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameterofnd the height is 14 cm. Diameter ofcylinder B is 14 cm and height is 7 cm. Without doing any calculationscan you suggest whose volume is greater? Verify it by finding thevolume of both the cylinders. Check whetherthe cylinder with greater14 cm7 em14 cm-volume also has greater surface area?7 cm

Answer»

Radiusof cylinder A is half of radius of cylinder B it means the radius of cylinder Bis Greater . While finding the volume we need to square the radius & squareof radius gives more value .

Thevolume of cylinder B is Greater then Volume of Cylinder A.

Diameterof cylinder A= 7 cm

Radiusof cylinder A= 7/2 cm

Heightof cylinder A= 14 cm

Volume of cylinder = πr2H

Volume of Cylinder A= (22/7)(7/2)²14

= (22/7) (49/4)× 14

= 539cm³

Diameterof cylinder B= 14 cm

Radiusof cylinder B= 14/2=7 cm

Heightof cylinder B= 7 cm

Volume of Cylinder B= (22/7)(7)27

=22×49

=1078m³

So Volume Of Cylinder B is greater than Volumeof cylinder A

Total Surface Area of Cylinder

= 2πr(r+H)

Total Surface Area of Cylinder A=2×(22/7)×(7/2)(7/2 +14)

= 22((7+28)/2)

=22(35)/2

=11×35

= 385cm²

Total Surface Area of Cylinder B= 2×(22/7)×(7)(7+7)

= 44× 14

= 616cm²

Hence, the surface area of Cylinder B is also greater


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