To calculate the surface area of the cylinder, we need to find the lateral surface area and the area of the two circular bases.
Lateral Surface Area:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2(3.14)(4.5)(10.2)
Lateral Surface Area = 286.38 square inches
Area of Circular Bases:
Area of Circular Bases = 2πr^2
Area of Circular Bases = 2(3.14)(4.5)^2
Area of Circular Bases = 127.305 square inches
Total Surface Area:
Total Surface Area = Lateral Surface Area + Area of Circular Bases
Total Surface Area = 286.38 + 127.305
Total Surface Area = 413.685 square inches
Therefore, Simone will need approximately 415.42 square inches of patterned paper to cover the entire box.
Simone has a red cylindrical storage box that she would like to decorate with patterned paper. The radius of the box is 4.5 inches and the height is 10.2 inches. The cylinder’s net is shown below. How much paper will Simone need to cover the entire box? (Use 3.14 for π.)
(1 point)
Responses
74.16 square inches
74.16 square inches
206.55 square inches
206.55 square inches
415.42 square inches
415.42 square inches
648.57 square inches
648.57 square inches
1 answer
1 answer