[tex]\huge{\underline{\underline{\sf{\red{Required\:Solution:-}}}}}[/tex]
Volume of cylinder B is greater.
For Cylinder A :-
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{7}{2}cm}}[/tex]
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 14cm}}[/tex]
[tex]\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}[/tex]
Substitute the values and simplify it
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times \bigg(\frac{7}{2}^{2} \bigg)\times14}}[/tex]
[tex]\large{\boxed{\sf{\orange{= 539 cm^{3}}}}}[/tex]
For Cylinder B:-
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{14}{2}cm=7cm}}[/tex]
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 7cm}}[/tex]
[tex]\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}[/tex]
Substitute the values and simplify it.
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times (7^{2})\times7}}[/tex]
[tex]\large{\boxed{\sf{\green{= 1078 cm^{3}}}}}[/tex]
By actual calculation of volumes of both the cylinders, it is verified that the volumes of cylinder B is greater.
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