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 cylinder, we need to calculate the area of the two bases and the lateral surface area and then add them together.
1. The area of one base (top or bottom) of the cylinder can be found using the formula for the area of a circle: A = πr^2
A = 3.14 * 4^2
A = 3.14 * 16
A = 50.24 cm^2 (rounded to the nearest hundredth)
Since there are two bases, the total base area is 2 * 50.24 = 100.48 cm^2
2. The lateral surface area of the cylinder can be found using the formula: A = 2πrh
A = 2 * 3.14 * 4 * 11
A = 8 * 3.14 * 11
A = 87.92 cm^2 (rounded to the nearest hundredth)
Adding the two bases area and the lateral surface area: 100.48 + 87.92 = 188.4 cm^2
Therefore, the surface area of the soup can is 188.4 square centimeters.