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Diameter of cylinder A is 7 cm, and the ...

Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area?

Text Solution

Verified by Experts

`V_A=pir^2h`
`V_A=22/7*(7/2)^2*14`
`V_A=539cm^3`
`V_B=piR^2h`
`V_B=22/7*(7)^2*7`
`V_B=1078cm^3`
`S_A=2pirh+pir^2`
`S_A=2*22/7*7/2^14+22/7*(7/2)^2`
...
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