Thank you for visiting A soup can has a height of 4 inches and a radius of 2 5 inches What is the volume of soup in cubic inches. 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 the soup can, which is shaped like a cylinder, 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]\( \pi \)[/tex] is approximately 3.14159,
- [tex]\( r \)[/tex] is the radius of the base of the cylinder,
- [tex]\( h \)[/tex] is the height of the cylinder.
Given:
- The height [tex]\( h = 4 \)[/tex] inches,
- The radius [tex]\( r = 2.5 \)[/tex] inches.
Let's plug these values into the formula:
1. First, calculate the area of the base ([tex]\( \pi r^2 \)[/tex]):
[tex]\[
r^2 = (2.5)^2 = 6.25
\][/tex]
2. Multiply the area of the base by [tex]\(\pi\)[/tex]:
[tex]\[
\pi \times 6.25 = 3.14159 \times 6.25 \approx 19.6349375
\][/tex]
3. Multiply this result by the height [tex]\( h \)[/tex]:
[tex]\[
V \approx 19.6349375 \times 4 = 78.53975
\][/tex]
Rounding this up, the volume of the soup can is approximately [tex]\(78.5 \, \text{cubic inches}\)[/tex].
So, the correct answer is B) [tex]\(78.5 \, \text{in}^3\)[/tex].
[tex]\[ V = \pi r^2 h \][/tex]
Where:
- [tex]\( V \)[/tex] is the volume,
- [tex]\( \pi \)[/tex] is approximately 3.14159,
- [tex]\( r \)[/tex] is the radius of the base of the cylinder,
- [tex]\( h \)[/tex] is the height of the cylinder.
Given:
- The height [tex]\( h = 4 \)[/tex] inches,
- The radius [tex]\( r = 2.5 \)[/tex] inches.
Let's plug these values into the formula:
1. First, calculate the area of the base ([tex]\( \pi r^2 \)[/tex]):
[tex]\[
r^2 = (2.5)^2 = 6.25
\][/tex]
2. Multiply the area of the base by [tex]\(\pi\)[/tex]:
[tex]\[
\pi \times 6.25 = 3.14159 \times 6.25 \approx 19.6349375
\][/tex]
3. Multiply this result by the height [tex]\( h \)[/tex]:
[tex]\[
V \approx 19.6349375 \times 4 = 78.53975
\][/tex]
Rounding this up, the volume of the soup can is approximately [tex]\(78.5 \, \text{cubic inches}\)[/tex].
So, the correct answer is B) [tex]\(78.5 \, \text{in}^3\)[/tex].
Thank you for reading the article A soup can has a height of 4 inches and a radius of 2 5 inches What is the volume of soup in cubic 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
