Answer:
(D) [tex]\dfrac{27}{16}[/tex]
Step-by-step explanation:
Volume of a Cylinder =[tex]\pi r^2h[/tex]
Cylinder A
Height = 3 Units
Radius = 3 Units
[tex]Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units[/tex]
Cylinder B
Height = 4 Units
Radius = 2 Units
[tex]Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units[/tex]
[tex]\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}[/tex]
The correct option is D