Tenth of a cubic centimeter? 168.4 cubic centimeters 673.8 cubic centimeters 1816.8 cubic centimeters 49.9 cubic centimeters’
‘A soup can has a radius of 4.3 cm and height of 11.6 cm What is the volume of the soup can to the nearest tenth of a cubic centimeter? 168.4 cubic centimeters 673.8 cubic centimeters 1816.8 cubic centimeters 49.9 cubic centimeters’
The Correct Answer and Explanation is:
To calculate the volume of a soup can, we can model it as a cylinder. The formula for the volume of a cylinder is:V=πr2hV = \pi r^2 hV=πr2h
Where:
- rrr is the radius of the base of the cylinder
- hhh is the height of the cylinder
- π\piπ is approximately 3.1416
Step-by-Step Calculation:
- Identify the given values:
- Radius, r=4.3 cmr = 4.3 \, \text{cm}r=4.3cm
- Height, h=11.6 cmh = 11.6 \, \text{cm}h=11.6cm
- Substitute the values into the formula:
V=π(4.3)2(11.6)V = \pi (4.3)^2 (11.6)V=π(4.3)2(11.6)
- Square the radius:
(4.3)2=18.49(4.3)^2 = 18.49(4.3)2=18.49
- Multiply the squared radius by the height:
18.49×11.6=214.48418.49 \times 11.6 = 214.48418.49×11.6=214.484
- Multiply the result by π\piπ:
V=3.1416×214.484≈673.774V = 3.1416 \times 214.484 \approx 673.774V=3.1416×214.484≈673.774
- Round the result to the nearest tenth:
V≈673.8 cubic centimetersV \approx 673.8 \, \text{cubic centimeters}V≈673.8cubic centimeters
Conclusion:
The volume of the soup can is approximately 673.8 cubic centimeters. Therefore, the correct answer is:
673.8 cubic centimeters.
This formula and calculation provide the exact volume for a cylinder, which represents the shape of the soup can. The volume tells us how much space is occupied inside the can.
