The surface area of a cylinder can be calculated by adding the areas of the two bases and the lateral surface area.
The formula for the area of a circle is A = πr^2, where r is the radius.
First, let's calculate the area of the two bases:
A = πr^2
A = 3.14 * (4)^2
A = 3.14 * 16
A = 50.24 square feet
The lateral surface area can be calculated by multiplying the circumference of the base (which is 2πr) by the height of the cylinder:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2 * 3.14 * 4 * 3
Lateral Surface Area = 75.36 square feet
Now, let's add the areas of the two bases and the lateral surface area to find the total surface area of the cylinder:
Total Surface Area = 2(Base Area) + Lateral Surface Area
Total Surface Area = 2(50.24) + 75.36
Total Surface Area = 100.48 + 75.36
Total Surface Area = 175.84 square feet
Therefore, the surface area of the outside of the cylinder is approximately 175.84 square feet.
Question
Adrian is painting the outside of a cylinder that he plans to use as a coffee table. The cylinder has a radius of 4 feet and a height of 3 feet. Adrian wants to paint all around the outside of the cylinder, including the top and bottom faces. In order to understand how much paint is needed, he wants to know the surface are of the outside of the cylinder. What is the surface area of the cylinder, measured in square feet? Use 3.14 for pi and round your answer to the nearest tenth.(1 point)
1 answer
1 answer