Question

The cylinder coffee cup has a radius of 1.8 inches and a height of 4 inches. Find the surface area of the coffee cup, not including the handle. Round to the nearest tenth

Answer 1

Answer:

Step-by-step explanation:

The formula for determining the total surface area of a cylinder is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Assuming that the cylindrical cup is open at the top, the formula becomes

Area = πr² + 2πrh

From the information given,

Radius = 1.8 inches

Height = 4 inches

Therefore, the surface area of the coffee cup is

(3.14 × 1.8²) + (2 × 3.14 × 1.8 × 4)

= 10.1736 + 45.216

= 55.4 inches² to the nearest tenth.