To find the surface area of a right circular cylinder, we need to calculate the lateral surface area plus the areas of the two circular bases.
1. Lateral Surface Area:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2 * 3.14 * 15.5 cm * 28 cm
Lateral Surface Area = 2 * 3.14 * 434 cm^2
Lateral Surface Area = 2 * 1362.76 cm^2
Lateral Surface Area = 2725.52 cm^2
2. Circular Bases Area:
Circular Base Area = πr^2
Circular Base Area = 3.14 * (7.75 cm)^2
Circular Base Area = 3.14 * 60.0625 cm^2
Circular Base Area = 188.75 cm^2
3. Total Surface Area:
Total Surface Area = Lateral Surface Area + 2(Circular Base Area)
Total Surface Area = 2725.52 cm^2 + 2(188.75 cm^2)
Total Surface Area = 2725.52 cm^2 + 377.5 cm^2
Total Surface Area = 3103.02 cm^2
Therefore, the surface area of the right circular cylinder is approximately 3103.02 cm^2. None of the provided options are exactly this value, but the closest one is 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
7 answers
choose the answer from the responses
1738.95 cm^2
1508.77 cm^2
1738.95 cm^2
1362.76 cm^2
4234.29 cm^2
these are the responses
1738.95 cm^2
1362.76 cm^2
4234.29 cm^2
these are the responses
1738.95 cm^2
1508.77 cm^2
1739.95 cm^2
1362.76 cm^2
4234.29 cm^2
these are the actual responses
1739.95 cm^2
1362.76 cm^2
4234.29 cm^2
these are the actual responses
Based on the given options, the closest answer to the calculated surface area of the right circular cylinder (3103.02 cm^2) is 1739.95 cm^2.