Thank you for visiting Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches A 705 cu in B 1 570. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To find the volume of a cylinder, you can use the formula:
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]\( V \)[/tex] represents the volume, [tex]\( r \)[/tex] is the radius of the cylinder's base, and [tex]\( h \)[/tex] is the height of the cylinder.
Let's solve the problem step by step:
1. Identify the given information:
- Diameter of the cylinder is 10 inches.
- Height of the cylinder is 20 inches.
2. Calculate the radius:
- The radius [tex]\( r \)[/tex] is half of the diameter. So, calculate the radius as follows:
[tex]\[
r = \frac{\text{diameter}}{2} = \frac{10}{2} = 5 \text{ inches}
\][/tex]
3. Plug the radius and height into the volume formula:
- Now use the volume formula:
[tex]\[
V = \pi \times (5)^2 \times 20
\][/tex]
4. Calculate the volume:
- First, calculate the square of the radius:
[tex]\[
(5)^2 = 25
\][/tex]
- Next, multiply by the height:
[tex]\[
25 \times 20 = 500
\][/tex]
- Finally, multiply by [tex]\(\pi\)[/tex] (approximately 3.14159):
[tex]\[
V \approx 3.14159 \times 500 \approx 1570.8
\][/tex]
Therefore, the volume of the cylinder is approximately [tex]\( 1,570 \)[/tex] cubic inches.
So, the best answer is:
B. 1,570 cu. in.
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]\( V \)[/tex] represents the volume, [tex]\( r \)[/tex] is the radius of the cylinder's base, and [tex]\( h \)[/tex] is the height of the cylinder.
Let's solve the problem step by step:
1. Identify the given information:
- Diameter of the cylinder is 10 inches.
- Height of the cylinder is 20 inches.
2. Calculate the radius:
- The radius [tex]\( r \)[/tex] is half of the diameter. So, calculate the radius as follows:
[tex]\[
r = \frac{\text{diameter}}{2} = \frac{10}{2} = 5 \text{ inches}
\][/tex]
3. Plug the radius and height into the volume formula:
- Now use the volume formula:
[tex]\[
V = \pi \times (5)^2 \times 20
\][/tex]
4. Calculate the volume:
- First, calculate the square of the radius:
[tex]\[
(5)^2 = 25
\][/tex]
- Next, multiply by the height:
[tex]\[
25 \times 20 = 500
\][/tex]
- Finally, multiply by [tex]\(\pi\)[/tex] (approximately 3.14159):
[tex]\[
V \approx 3.14159 \times 500 \approx 1570.8
\][/tex]
Therefore, the volume of the cylinder is approximately [tex]\( 1,570 \)[/tex] cubic inches.
So, the best answer is:
B. 1,570 cu. in.
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Rewritten by : Jeany
