Question

Find the Volume of the cylinder​

Answer 1

`\huge{\underline{\underline{\sf{\red{Required\:Solution:-}}}}}`

Volume of cylinder B is greater.

For Cylinder A :-

`\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: (7)/(2)cm}}`

`\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 14cm}}`

`\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^(2)h}}}`

Substitute the values and simplify it

`\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= (22)/(7) * \bigg((7)/(2)^(2) \bigg)*14}}`

`\large{\boxed{\sf{\orange{= 539 cm^(3)}}}}`

For Cylinder B:-

`\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: (14)/(2)cm=7cm}}`

`\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 7cm}}`

`\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^(2)h}}}`

Substitute the values and simplify it.

`\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= (22)/(7) * (7^(2))*7}}`

`\large{\boxed{\sf{\green{= 1078 cm^(3)}}}}`

By actual calculation of volumes of both the cylinders, it is verified that the volumes of cylinder B is greater.

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