Thank you for visiting A cylinder shaped candle has a diameter of 5 inches and a height of 8 inches What is the volume of the cylinder Use 3. 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-shaped candle with a diameter of 5 inches and a height of 8 inches, we can use the formula for the volume of a cylinder:
[tex]\[ V = \pi r^2 h \][/tex]
where:
- [tex]\( V \)[/tex] is the volume,
- [tex]\( r \)[/tex] is the radius of the cylinder's base,
- [tex]\( h \)[/tex] is the height, and
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14.
Step 1: Find the radius.
Since the diameter of the cylinder is 5 inches, the radius [tex]\( r \)[/tex] is half of the diameter:
[tex]\[ r = \frac{\text{diameter}}{2} = \frac{5}{2} = 2.5 \text{ inches} \][/tex]
Step 2: Use the formula to calculate the volume.
Now that we have the radius and the height, we can substitute these values into the formula:
[tex]\[ V = \pi \times r^2 \times h \][/tex]
[tex]\[ V = 3.14 \times (2.5)^2 \times 8 \][/tex]
Step 3: Calculate [tex]\( r^2 \)[/tex].
[tex]\[ r^2 = (2.5)^2 = 6.25 \][/tex]
Step 4: Substitute [tex]\( r^2 \)[/tex] into the formula and compute the volume.
[tex]\[ V = 3.14 \times 6.25 \times 8 \][/tex]
[tex]\[ V = 3.14 \times 50 \][/tex]
[tex]\[ V = 157 \text{ cubic inches} \][/tex]
Therefore, the volume of the cylinder is 157 cubic inches. The correct answer is [tex]\(157 \, \text{in}^3\)[/tex].
[tex]\[ V = \pi r^2 h \][/tex]
where:
- [tex]\( V \)[/tex] is the volume,
- [tex]\( r \)[/tex] is the radius of the cylinder's base,
- [tex]\( h \)[/tex] is the height, and
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14.
Step 1: Find the radius.
Since the diameter of the cylinder is 5 inches, the radius [tex]\( r \)[/tex] is half of the diameter:
[tex]\[ r = \frac{\text{diameter}}{2} = \frac{5}{2} = 2.5 \text{ inches} \][/tex]
Step 2: Use the formula to calculate the volume.
Now that we have the radius and the height, we can substitute these values into the formula:
[tex]\[ V = \pi \times r^2 \times h \][/tex]
[tex]\[ V = 3.14 \times (2.5)^2 \times 8 \][/tex]
Step 3: Calculate [tex]\( r^2 \)[/tex].
[tex]\[ r^2 = (2.5)^2 = 6.25 \][/tex]
Step 4: Substitute [tex]\( r^2 \)[/tex] into the formula and compute the volume.
[tex]\[ V = 3.14 \times 6.25 \times 8 \][/tex]
[tex]\[ V = 3.14 \times 50 \][/tex]
[tex]\[ V = 157 \text{ cubic inches} \][/tex]
Therefore, the volume of the cylinder is 157 cubic inches. The correct answer is [tex]\(157 \, \text{in}^3\)[/tex].
Thank you for reading the article A cylinder shaped candle has a diameter of 5 inches and a height of 8 inches What is the volume of the cylinder Use 3. 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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