To find the surface area of a right circular cylinder, we need to calculate the lateral surface area and the area of the two circular bases.
1. Lateral Surface Area:
Lateral Surface Area = height x circumference of base
Lateral Surface Area = 28 cm x (π x diameter)
Lateral Surface Area = 28 cm x (3.14 x 15.5 cm)
Lateral Surface Area = 28 cm x 48.67 cm
Lateral Surface Area = 1362.76 cm^2
2. Area of Two Circular Bases:
Area of base = π x (radius)^2
radius = diameter/2 = 15.5 cm / 2 = 7.75 cm
Area of base = 3.14 x (7.75 cm)^2
Area of base = 3.14 x 60.06 cm
Area of base = 188.76 cm^2
3. Total Surface Area:
Total Surface Area = Lateral Surface Area + 2 x Area of base
Total Surface Area = 1362.76 cm^2 + 2 x 188.76 cm^2
Total Surface Area = 1362.76 cm^2 + 377.52 cm^2
Total Surface Area = 1740.28 cm^2
Therefore, the correct answer is not listed among the choices provided. The closest correct answer would be 1738.95 cm^2.
Aleksandr has a roll of paper that is in the shape of a right circular cylinder. It has a height of 28 cm and a diameter of 15.5 cm. Help Aleksandr solve for the surface area. Use 3.14 for π .
1508.77 cm^2
1738.95 cm^2
1362.76 cm^2
4234.29 cm^2
please choose the right answer this time
1 answer