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Answer :
To find the volume of a cylinder, you can use the formula:
[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]
Here’s how you can find the answer step-by-step:
1. Find the radius:
The diameter of the cylinder is given as 10 inches. Since the radius is half of the diameter, you divide the diameter by 2:
[tex]\[
\text{Radius} = \frac{10}{2} = 5 \text{ inches}
\][/tex]
2. Use the volume formula:
Plug the radius and the height into the volume formula. The height is given as 20 inches.
[tex]\[
\text{Volume} = \pi \times (5)^2 \times 20
\][/tex]
3. Calculate the square of the radius:
[tex]\[
(5)^2 = 25
\][/tex]
4. Multiply the square of the radius by the height:
[tex]\[
25 \times 20 = 500
\][/tex]
5. Multiply by [tex]\(\pi\)[/tex]:
[tex]\[
\text{Volume} = \pi \times 500
\][/tex]
6. Use [tex]\(\pi \approx 3.14159\)[/tex]:
Multiply to find the volume:
[tex]\[
\text{Volume} \approx 3.14159 \times 500 \][/tex]
[tex]\[
\approx 1570.8 \text{ cubic inches}
\][/tex]
When you round this figure, you get approximately 1,570 cubic inches. Therefore, the best answer is:
OD. 1,570 cu. in.
[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]
Here’s how you can find the answer step-by-step:
1. Find the radius:
The diameter of the cylinder is given as 10 inches. Since the radius is half of the diameter, you divide the diameter by 2:
[tex]\[
\text{Radius} = \frac{10}{2} = 5 \text{ inches}
\][/tex]
2. Use the volume formula:
Plug the radius and the height into the volume formula. The height is given as 20 inches.
[tex]\[
\text{Volume} = \pi \times (5)^2 \times 20
\][/tex]
3. Calculate the square of the radius:
[tex]\[
(5)^2 = 25
\][/tex]
4. Multiply the square of the radius by the height:
[tex]\[
25 \times 20 = 500
\][/tex]
5. Multiply by [tex]\(\pi\)[/tex]:
[tex]\[
\text{Volume} = \pi \times 500
\][/tex]
6. Use [tex]\(\pi \approx 3.14159\)[/tex]:
Multiply to find the volume:
[tex]\[
\text{Volume} \approx 3.14159 \times 500 \][/tex]
[tex]\[
\approx 1570.8 \text{ cubic inches}
\][/tex]
When you round this figure, you get approximately 1,570 cubic inches. Therefore, the best answer is:
OD. 1,570 cu. in.
Thank you for reading the article Select the best answer for the question Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
