Answer:
157.08 cubic inches.
Explanation:
The volume of a cylinder is calculated with the following formula:
[tex]V=\pi r^2h[/tex]
Where π = 3.1416, r is the radius of the cylinder and h is the height.
We have the diameter of the cylinder which is 5 in. Since the radius is half of the diameter, the radius is: r = 5in/2 = 2.5in.
And the height indicated is: 8 in.
We substitute this values into the volume formula:
[tex]V=(3.1416)(2.5)^2(8)[/tex]
And we solve the operations to get the answer:
[tex]\begin{gathered} V=(3.1416)(6.25)(8) \\ V=157.08 \end{gathered}[/tex]
The answer, rounded to the nearest hundredth (2 decimal places) is 157.08 cubic inches.
