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 :
Final answer:
The volume of the soup can is calculated using the formula for the volume of a cylinder (πr²h). With a height of 4 inches and a radius of 2.5 inches, the volume is π(2.5 in)²(4 in) which approximates to 78.5 cubic inches.
Explanation:
To find the volume of a cylinder-shaped soup can, we use the formula for the volume of a cylinder, which is:
V = πr²h
Where V represents the volume, r is the radius of the base, and h is the height of the cylinder. The given dimensions for the soup can are a height (h) of 4 inches and a radius (r) of 2.5 inches. Plugging these values into our formula:
V = π(2.5 in)²(4 in)
V = π(6.25 in²)(4 in)
V = π(25 in³)
V ≈ 3.1416(25 in³)
V ≈ 78.54 in³
Thus, the volume of soup that would fill one soup can is approximately 78.5 cubic inches, which corresponds to option C.
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Rewritten by : Jeany
Answer:
C. 78.5 in^3
Step-by-step explanation:
A soup can is in the shape of a cylinder. The volume of a cylinder can be found using the following formula:
[tex]v=\pi r^2h[/tex]
We know that the height is 4 inches and the radius is 2.5 inches.
r= 2.5 in
h= 4 in
[tex]v=\pi (2.5in)^2*4in[/tex]
Evaluate the exponent.
[tex](2.5 in)^2=2.5 in*2.5in=6.25 in^2[/tex]
[tex]v=\pi *6.25 in^2*4 in[/tex]
Multiply 6.25 in^2 and 4 in.
[tex]6.25 in^2*4 in=25 in^3[/tex]
[tex]v=\pi*25 in^3[/tex]
Multiply pi and 25 in^3.
[tex]v=78.5398163 in^3[/tex]
Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 5 in the tenth place.
[tex]v=78.5 in^3[/tex]
78.5 cubic inches can fill one soup can.
