A can of soup has a diameter of 7 cm and a height of 11 cm. Assuming that the can is full, what is the volume of soup contained in the can? Use 3.14 for π and round your answer to the nearest cubic centimeter.A.423 cm3B.1692 cm3C.242 cm3D.135 cm3
Question
A can of soup has a diameter of 7 cm and a height of 11 cm. Assuming that the can is full, what is the volume of soup contained in the can? Use 3.14 for π and round your answer to the nearest cubic centimeter.A.423 cm3B.1692 cm3C.242 cm3D.135 cm3
Solution
To find the volume of the can of soup, we need to use the formula for the volume of a cylinder, which is:
where:
- is the volume,
- (pi) is approximately 3.14,
- is the radius of the base of the cylinder,
- is the height of the cylinder.
Given:
- The diameter of the can is 7 cm, so the radius is half of the diameter:
- The height of the can is 11 cm.
Now, plug these values into the formula:
First, calculate :
Next, multiply this result by 3.14:
Finally, multiply by the height (11 cm):
Rounding to the nearest cubic centimeter:
So, the volume of the soup contained in the can is approximately 423 cubic centimeters.
The correct answer is: A. 423 cm³
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