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, we use the volume formula for a cylinder:
[tex]$$
V = \pi r^2 h
$$[/tex]
where:
- [tex]$r$[/tex] is the radius,
- [tex]$h$[/tex] is the height.
Given:
- [tex]$r = 2.5$[/tex] inches,
- [tex]$h = 4$[/tex] inches.
Step 1: Calculate the area of the circular base.
[tex]$$
\text{Base Area} = \pi r^2 = \pi \times (2.5)^2 \approx \pi \times 6.25 \approx 19.63 \text{ in}^2
$$[/tex]
Step 2: Multiply the base area by the height to get the volume.
[tex]$$
V = \text{Base Area} \times h = 19.63 \text{ in}^2 \times 4 \text{ in} \approx 78.52 \text{ in}^3
$$[/tex]
Rounding to one decimal place, the volume is approximately [tex]$78.5$[/tex] cubic inches.
Thus, the correct answer is:
[tex]$$
\boxed{78.5 \text{ in}^3}
$$[/tex]
[tex]$$
V = \pi r^2 h
$$[/tex]
where:
- [tex]$r$[/tex] is the radius,
- [tex]$h$[/tex] is the height.
Given:
- [tex]$r = 2.5$[/tex] inches,
- [tex]$h = 4$[/tex] inches.
Step 1: Calculate the area of the circular base.
[tex]$$
\text{Base Area} = \pi r^2 = \pi \times (2.5)^2 \approx \pi \times 6.25 \approx 19.63 \text{ in}^2
$$[/tex]
Step 2: Multiply the base area by the height to get the volume.
[tex]$$
V = \text{Base Area} \times h = 19.63 \text{ in}^2 \times 4 \text{ in} \approx 78.52 \text{ in}^3
$$[/tex]
Rounding to one decimal place, the volume is approximately [tex]$78.5$[/tex] cubic inches.
Thus, the correct answer is:
[tex]$$
\boxed{78.5 \text{ in}^3}
$$[/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
