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.
To find the surface area of the can, we need to find the area of the two circular ends and the lateral surface area.
1. Area of the two circular ends:
Area = 2πr^2
Area = 2 * 3.14 * 4^2
Area = 2 * 3.14 * 16
Area = 100.48 cm²
2. Lateral surface area:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2 * 3.14 * 4 * 11
Lateral Surface Area = 8 * 3.14 * 11
Lateral Surface Area = 87.92 cm²
3. Total surface area:
Total Surface Area = 2 (Area of circular ends) + Lateral Surface Area
Total Surface Area = 2 * 100.48 + 87.92
Total Surface Area = 200.96 + 87.92
Total Surface Area = 288.88 cm²
Therefore, the surface area of the soup can is 288.9 cm² when rounded to the nearest tenth.
wrong
To find the surface area of the soup can, we need to find the area of the two circular ends and the lateral surface area.
1. Area of the two circular ends:
Area = 2πr^2
Area = 2 * 3.14 * 4^2
Area = 2 * 3.14 * 16
Area = 100.48 cm²
2. Lateral surface area:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2 * 3.14 * 4 * 11
Lateral Surface Area = 8 * 3.14 * 11
Lateral Surface Area = 87.92 cm²
3. Total surface area:
Total Surface Area = 2 (Area of circular ends) + Lateral Surface Area
Total Surface Area = 2 * 100.48 + 87.92
Total Surface Area = 200.96 + 87.92
Total Surface Area = 288.88 cm²
Therefore, the surface area of the soup can is approximately 288.9 cm².