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 a soup can, which is shaped like a cylinder, we use the formula for the volume of a cylinder:
[tex]\[ \text{Volume} = \pi \times r^2 \times h \][/tex]
where:
- [tex]\( r \)[/tex] is the radius of the base of the cylinder.
- [tex]\( h \)[/tex] is the height of the cylinder.
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14159.
Given:
- The radius [tex]\( r \)[/tex] is 2.5 inches.
- The height [tex]\( h \)[/tex] is 4 inches.
Now, let's calculate the volume step-by-step:
1. Square the radius:
- [tex]\( r^2 = 2.5 \times 2.5 = 6.25 \)[/tex]
2. Multiply the squared radius by the height:
- [tex]\( 6.25 \times 4 = 25 \)[/tex]
3. Multiply by [tex]\( \pi \)[/tex]:
- [tex]\( \pi \times 25 \approx 78.5 \)[/tex]
Therefore, the volume of the soup that would fill one soup can is approximately [tex]\( 78.5 \)[/tex] cubic inches.
The correct answer is:
A) [tex]\( 78.5 \, \text{in}^3 \)[/tex]
[tex]\[ \text{Volume} = \pi \times r^2 \times h \][/tex]
where:
- [tex]\( r \)[/tex] is the radius of the base of the cylinder.
- [tex]\( h \)[/tex] is the height of the cylinder.
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14159.
Given:
- The radius [tex]\( r \)[/tex] is 2.5 inches.
- The height [tex]\( h \)[/tex] is 4 inches.
Now, let's calculate the volume step-by-step:
1. Square the radius:
- [tex]\( r^2 = 2.5 \times 2.5 = 6.25 \)[/tex]
2. Multiply the squared radius by the height:
- [tex]\( 6.25 \times 4 = 25 \)[/tex]
3. Multiply by [tex]\( \pi \)[/tex]:
- [tex]\( \pi \times 25 \approx 78.5 \)[/tex]
Therefore, the volume of the soup that would fill one soup can is approximately [tex]\( 78.5 \)[/tex] cubic inches.
The correct answer is:
A) [tex]\( 78.5 \, \text{in}^3 \)[/tex]
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Rewritten by : Jeany
