Thank you for visiting A can has a radius of 2 inches and a volume of 62 8 cubic inches Find the height of the can a The formula. 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 solve for the height of the can, we need to use the formula for the volume of a cylinder. The formula is:
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( r \)[/tex] is the radius, and [tex]\( h \)[/tex] is the height.
Given that the volume [tex]\( V \)[/tex] is 62.8 cubic inches and the radius [tex]\( r \)[/tex] is 2 inches, we want to find the height [tex]\( h \)[/tex].
1. Rearrange the formula to solve for [tex]\( h \)[/tex]:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
2. Plug in the given values:
- Volume [tex]\( V = 62.8 \)[/tex]
- Radius [tex]\( r = 2 \)[/tex]
3. Substitute these values into the rearranged formula:
[tex]\[ h = \frac{62.8}{\pi \times 2^2} \][/tex]
4. Calculate the value of [tex]\( \pi \times 2^2 \)[/tex]:
- [tex]\( 2^2 = 4 \)[/tex]
- So, [tex]\( \pi \times 4 \approx 12.566 \)[/tex] (using [tex]\( \pi \approx 3.1416 \)[/tex])
5. Substitute back into the equation to find [tex]\( h \)[/tex]:
[tex]\[ h = \frac{62.8}{12.566} \][/tex]
6. Compute the division to find the height [tex]\( h \)[/tex]:
[tex]\[ h \approx 4.997 \][/tex]
Therefore, the height of the can is approximately 5 inches.
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( r \)[/tex] is the radius, and [tex]\( h \)[/tex] is the height.
Given that the volume [tex]\( V \)[/tex] is 62.8 cubic inches and the radius [tex]\( r \)[/tex] is 2 inches, we want to find the height [tex]\( h \)[/tex].
1. Rearrange the formula to solve for [tex]\( h \)[/tex]:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
2. Plug in the given values:
- Volume [tex]\( V = 62.8 \)[/tex]
- Radius [tex]\( r = 2 \)[/tex]
3. Substitute these values into the rearranged formula:
[tex]\[ h = \frac{62.8}{\pi \times 2^2} \][/tex]
4. Calculate the value of [tex]\( \pi \times 2^2 \)[/tex]:
- [tex]\( 2^2 = 4 \)[/tex]
- So, [tex]\( \pi \times 4 \approx 12.566 \)[/tex] (using [tex]\( \pi \approx 3.1416 \)[/tex])
5. Substitute back into the equation to find [tex]\( h \)[/tex]:
[tex]\[ h = \frac{62.8}{12.566} \][/tex]
6. Compute the division to find the height [tex]\( h \)[/tex]:
[tex]\[ h \approx 4.997 \][/tex]
Therefore, the height of the can is approximately 5 inches.
Thank you for reading the article A can has a radius of 2 inches and a volume of 62 8 cubic inches Find the height of the can a The formula. 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
