Thank you for visiting A soup can has a height of 4 inches and a radius of 2 5 inches What s 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, we need to use the formula for the volume of a cylinder, since a soup can is shaped like a cylinder. The formula to calculate the volume of a cylinder 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, and [tex]\( h \)[/tex] is the height of the cylinder.
Given:
- The radius [tex]\( r \)[/tex] is 2.5 inches.
- The height [tex]\( h \)[/tex] is 4 inches.
Let's calculate the volume step-by-step:
1. Calculate the area of the base:
[tex]\[ \text{Area of the base} = \pi \times r^2 = \pi \times (2.5)^2 \][/tex]
[tex]\[ = \pi \times 6.25 \][/tex]
2. Calculate the volume:
[tex]\[ V = \pi \times 6.25 \times 4 \][/tex]
3. Plug in the value of [tex]\( \pi \approx 3.14159 \)[/tex]:
[tex]\[ V \approx 3.14159 \times 6.25 \times 4 \][/tex]
4. Calculate the final volume:
[tex]\[ V \approx 78.54 \, \text{cubic inches} \][/tex]
Therefore, the volume of soup that would fill one soup can is approximately 78.5 cubic inches.
The correct answer is:
A) [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, and [tex]\( h \)[/tex] is the height of the cylinder.
Given:
- The radius [tex]\( r \)[/tex] is 2.5 inches.
- The height [tex]\( h \)[/tex] is 4 inches.
Let's calculate the volume step-by-step:
1. Calculate the area of the base:
[tex]\[ \text{Area of the base} = \pi \times r^2 = \pi \times (2.5)^2 \][/tex]
[tex]\[ = \pi \times 6.25 \][/tex]
2. Calculate the volume:
[tex]\[ V = \pi \times 6.25 \times 4 \][/tex]
3. Plug in the value of [tex]\( \pi \approx 3.14159 \)[/tex]:
[tex]\[ V \approx 3.14159 \times 6.25 \times 4 \][/tex]
4. Calculate the final volume:
[tex]\[ V \approx 78.54 \, \text{cubic inches} \][/tex]
Therefore, the volume of soup that would fill one soup can is approximately 78.5 cubic inches.
The correct answer is:
A) [tex]\(78.5 \, \text{in}^3\)[/tex]
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Rewritten by : Jeany
