Answer :
Given:
The radius of the cylinder is 8 inches.
The height of the cylinder is 10 inches.
We need to determine the volume of the cylinder.
Volume of the cylinder:
The volume of the cylinder can be determined using the formula,
[tex]V=\pi r^2 h[/tex]
where r is the radius and h is the height.
Substituting [tex]r=8[/tex] and [tex]h=10[/tex] in the above formula, we get;
[tex]V= \pi (8)^2 (10)[/tex]
Simplifying, we get;
[tex]V=\pi (64)(10)[/tex]
Multiplying, we get;
[tex]V=640 \pi[/tex]
Thus, the volume of the cylinder is 640π in³
Hence, Option C is the correct answer.
Final answer:
To calculate the cylinder's volume, you need its radius and height to use the formula V = πr²h. Without these measurements provided in the question, it is not possible to select the correct answer from the given options.
Explanation:
The volume of a cylinder can be found using the formula V = πr²h, where V represents the volume, r is the radius of the circular base, and h is the height of the cylinder. To answer the question, we need the specific measurements of the radius and the height of the cylinder, which are not provided in the question.
Without these measurements, we cannot accurately calculate the volume or choose the correct answer among the options provided. It's possible that some part of the question is missing.
In general, if you were given the measurements, you would simply substitute them into the formula and calculate the volume, leaving the answer in terms of π if it's required.
