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 :-

$\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{7}{2}cm}}$

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

$\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}$

Substitute the values and simplify it

$\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times \bigg(\frac{7}{2}^{2} \bigg)\times14}}$

$\large{\boxed{\sf{\orange{= 539 cm^{3}}}}}$

For Cylinder B:-

$\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{14}{2}cm=7cm}}$

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

$\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}$

Substitute the values and simplify it.

$\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times (7^{2})\times7}}$

$\large{\boxed{\sf{\green{= 1078 cm^{3}}}}}$

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

━━━━━━━━━━━━━━━━━━━━━━━━━━