Thank you for visiting Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches A 1 570 cu in B 62. 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]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]
1. Find the radius:
The diameter of the cylinder is given as 10 inches. The radius is half of the diameter, so:
[tex]\[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{10}{2} = 5 \text{ inches} \][/tex]
2. Find the volume:
Now that we have the radius, we can plug it into the formula along with the height (20 inches):
[tex]\[ \text{Volume} = \pi \times (5)^2 \times 20 \][/tex]
3. Calculate the volume:
- First, calculate [tex]\(5^2 = 25\)[/tex].
- Next, multiply by the height: [tex]\(25 \times 20 = 500\)[/tex].
- Finally, multiply by [tex]\(\pi\)[/tex], which is approximately 3.14159:
[tex]\[ \text{Volume} = 3.14159 \times 500 \approx 1570.8 \text{ cubic inches} \][/tex]
So, the volume of the cylinder is approximately 1,570 cubic inches. The best answer choice is indeed:
A. 1,570 cu. in.
[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]
1. Find the radius:
The diameter of the cylinder is given as 10 inches. The radius is half of the diameter, so:
[tex]\[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{10}{2} = 5 \text{ inches} \][/tex]
2. Find the volume:
Now that we have the radius, we can plug it into the formula along with the height (20 inches):
[tex]\[ \text{Volume} = \pi \times (5)^2 \times 20 \][/tex]
3. Calculate the volume:
- First, calculate [tex]\(5^2 = 25\)[/tex].
- Next, multiply by the height: [tex]\(25 \times 20 = 500\)[/tex].
- Finally, multiply by [tex]\(\pi\)[/tex], which is approximately 3.14159:
[tex]\[ \text{Volume} = 3.14159 \times 500 \approx 1570.8 \text{ cubic inches} \][/tex]
So, the volume of the cylinder is approximately 1,570 cubic inches. The best answer choice is indeed:
A. 1,570 cu. in.
Thank you for reading the article Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches A 1 570 cu in B 62. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
