Given:
The height of the prism, h = 6
The base side of the prism, b = 5.
The base side length of the prism, l =5.
The height of the cylinder, h = 50.
The radius of the cylinder, r =1.
Required:
We need to compare the volume of the cylinder and prism.
Explanation:
Consider the formula to find the volume of the prism.
[tex]V_1=\frac{bhl}{2}[/tex]
Substitute b=5, h =6, and l=5 in the formula to find the volume of the prism.
[tex]V_1=\frac{5\times6\times5}{2}[/tex]
[tex]V_1=75\text{ units}^3[/tex]
Consider the formula to find the volume of the cylinder.
[tex]V_2=\pi r^2h[/tex]
Substitute r =1 and h =50 in the formula to find the volume of the cylinder.
[tex]V_2=3.14\times1^2\times50[/tex][tex]V_2=157\text{ units}^3[/tex][tex]We\text{ know that 75<157.}[/tex]
The cylinder has greater volume.
Final answer:
Figure B has a greater volume.
