Question

find the service area of a cylinder with a radius of 5 inches and a height of 10 inches. use the approximation 3.14 for pi.
a 345.4 square inches
b 471 square inches
c 471 inches
d 314 square inches

Answer 1

To find the surface area of a cylinder, we need to calculate the areas of the two circular bases and the lateral surface area.

1. The area of a circular base is given by the formula A = πr^2, where r is the radius.
Substituting the values, we have A = 3.14 * (5 inches)^2 = 3.14 * 25 = 78.5 square inches.

2. The lateral surface area of a cylinder can be determined by finding the circumference of the circular base and multiplying it by the height.
The circumference of a circle is given by the formula C = 2πr, where r is the radius.
Substituting the values, we have C = 2 * 3.14 * 5 inches = 31.4 inches.
Multiplying by the height, we get the lateral surface area as 31.4 inches * 10 inches = 314 square inches.

Now, to find the total surface area, we add the areas of the two circular bases and the lateral surface area.
Total Surface Area = 2 * Area of Base + Lateral Surface Area
= 2 * 78.5 square inches + 314 square inches
= 157 square inches + 314 square inches
= 471 square inches

Therefore, the service area of the cylinder is option b) 471 square inches.