To calculate the surface area of the cylinder, we first need to find the lateral area and the two circular bases.
Lateral Area:
Lateral Area = 2πrh
Lateral Area = 2 * 3.14 * 4 * 11
Lateral Area = 278.48 cm²
Circular Bases:
Circular Base Area = πr²
Circular Base Area = 3.14 * 4²
Circular Base Area = 3.14 * 16
Circular Base Area = 50.24 cm²
Total Surface Area:
Surface Area = Lateral Area + 2(Circular Base Area)
Surface Area = 278.48 + 2(50.24)
Surface Area = 278.48 + 100.48
Surface Area = 378.96 cm²
Therefore, the surface area of the soup can is 378.96 cm².
Martha has a soup can in the shape of a cylinder with a height of 11 cm and radius of 4 cm. What is the surface area of the can? Use 3.14 for π and round to the nearest tenth. And 188.4 is wrong
3 answers
sorry it says wrong
I apologize for the mistake. Let's recalculate the surface area of the cylinder:
Lateral Area:
Lateral Area = 2πrh
Lateral Area = 2 * 3.14 * 4 * 11
Lateral Area = 8 * 3.14 * 11
Lateral Area = 87.92 cm²
Circular Bases:
Circular Base Area = πr²
Circular Base Area = 3.14 * 4²
Circular Base Area = 3.14 * 16
Circular Base Area = 50.24 cm²
Total Surface Area:
Surface Area = Lateral Area + 2(Circular Base Area)
Surface Area = 87.92 + 2(50.24)
Surface Area = 87.92 + 100.48
Surface Area = 188.4 cm²
Therefore, the correct surface area of the soup can is 188.4 cm². Thank you for your patience.
Lateral Area:
Lateral Area = 2πrh
Lateral Area = 2 * 3.14 * 4 * 11
Lateral Area = 8 * 3.14 * 11
Lateral Area = 87.92 cm²
Circular Bases:
Circular Base Area = πr²
Circular Base Area = 3.14 * 4²
Circular Base Area = 3.14 * 16
Circular Base Area = 50.24 cm²
Total Surface Area:
Surface Area = Lateral Area + 2(Circular Base Area)
Surface Area = 87.92 + 2(50.24)
Surface Area = 87.92 + 100.48
Surface Area = 188.4 cm²
Therefore, the correct surface area of the soup can is 188.4 cm². Thank you for your patience.