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 soup that would fill the can, we need to use the formula for the volume of a cylinder. The formula is:
[tex]\[ V = \pi \times r^2 \times h \][/tex]
Where:
- [tex]\( V \)[/tex] is the volume,
- [tex]\( r \)[/tex] is the radius of the base of the cylinder,
- [tex]\( h \)[/tex] is the height of the cylinder,
- [tex]\(\pi\)[/tex] is a constant approximately equal to 3.14159.
Given:
- The height ([tex]\( h \)[/tex]) of the soup can is 4 inches.
- The radius ([tex]\( r \)[/tex]) of the base of the soup can is 2.5 inches.
Let's calculate the volume step-by-step:
1. Square the radius ([tex]\( r^2 \)[/tex]):
[tex]\[
r^2 = 2.5^2 = 6.25
\][/tex]
2. Multiply the squared radius by the height:
[tex]\[
r^2 \times h = 6.25 \times 4 = 25
\][/tex]
3. Multiply by [tex]\(\pi\)[/tex] to find the volume:
[tex]\[
V = \pi \times 25 \approx 3.14159 \times 25 \approx 78.54
\][/tex]
The volume of the soup can is approximately 78.5 cubic inches. So the correct answer is:
B) [tex]\(78.5 \, \text{in}^3\)[/tex]
[tex]\[ V = \pi \times r^2 \times h \][/tex]
Where:
- [tex]\( V \)[/tex] is the volume,
- [tex]\( r \)[/tex] is the radius of the base of the cylinder,
- [tex]\( h \)[/tex] is the height of the cylinder,
- [tex]\(\pi\)[/tex] is a constant approximately equal to 3.14159.
Given:
- The height ([tex]\( h \)[/tex]) of the soup can is 4 inches.
- The radius ([tex]\( r \)[/tex]) of the base of the soup can is 2.5 inches.
Let's calculate the volume step-by-step:
1. Square the radius ([tex]\( r^2 \)[/tex]):
[tex]\[
r^2 = 2.5^2 = 6.25
\][/tex]
2. Multiply the squared radius by the height:
[tex]\[
r^2 \times h = 6.25 \times 4 = 25
\][/tex]
3. Multiply by [tex]\(\pi\)[/tex] to find the volume:
[tex]\[
V = \pi \times 25 \approx 3.14159 \times 25 \approx 78.54
\][/tex]
The volume of the soup can is approximately 78.5 cubic inches. So the correct answer is:
B) [tex]\(78.5 \, \text{in}^3\)[/tex]
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Rewritten by : Jeany
