Let's plug the given value is in the formula : [tex]{ V }_{ cylinder }=\quad \pi { r }^{ 2 }h[/tex]
First cylinder : [tex]{ V }_{ cylinder1 }=\quad \pi { 8 }^{ 2 }21=\pi \cdot 64\cdot 21=1344\pi \quad { cm }^{ 3 }[/tex]
Second cylinder : [tex]{ V }_{ cylinder2 }=\quad \pi { 11 }^{ 2 }45=\pi \cdot 121\cdot 45=5445\pi \quad { cm }^{ 3 }[/tex]
[tex]5445-1344=4101\\ \\ 4101\pi \quad { cm }^{ 3 }[/tex]
Answer is D
