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Answer :
To find the volume of a cylinder, you can use the formula:
[tex]V = \pi r^2 h[/tex]
where:
- [tex]V[/tex] is the volume of the cylinder.
- [tex]\pi[/tex] is a mathematical constant, approximately 3.14159.
- [tex]r[/tex] is the radius of the base of the cylinder.
- [tex]h[/tex] is the height of the cylinder.
Given:
- The diameter of the cylinder is 10 inches. To find the radius, we divide the diameter by 2:
[tex]r = \frac{10}{2} = 5[/tex] inches. - The height [tex]h[/tex] of the cylinder is 20 inches.
Substitute the values into the formula:
[tex]V = \pi (5)^2 (20)[/tex]
[tex]V = \pi (25) (20)[/tex]
[tex]V = \pi \times 500[/tex]
[tex]V \approx 3.14159 \times 500[/tex]
[tex]V \approx 1,570 \text{ cubic inches}[/tex]
Thus, the volume of the cylinder is approximately 1,570 cubic inches.
The correct answer is B. 1,570 cu. in.
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Rewritten by : Jeany
