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 .

Question

1508.77 cm^2
1739.95 cm^2
1362.76 cm^2
4234.29 cm^2

Answer 1

The surface area of a right circular cylinder is given by the formula:

Surface Area = 2πr^2 + 2πrh

where r is the radius and h is the height.

Given that the diameter is 15.5 cm, the radius (r) is half of the diameter, so r = 15.5 cm / 2 = 7.75 cm.

Plugging in the values:

Surface Area = 2 * 3.14 * (7.75)^2 + 2 * 3.14 * 7.75 * 28
Surface Area = 2 * 3.14 * 60.0625 + 2 * 3.14 * 217
Surface Area = 376.94 + 1362.76
Surface Area = 1739.95 cm^2

Therefore, the surface area of the right circular cylinder is 1739.95 cm^2.

So the answer is 1739.95 cm^2.

Answer 2

Maria wants to find the surface area of a steel rod that is in the shape of a right circular cylinder. The diameter is 0.50 inches, and the length is 36 inches. What is the surface area? Use 3.14 for π .

56.52 inches^2
114.61 inches^2
56.91 inches^2
0.39 inches^2

Answer 3

Given:
Diameter = 0.50 inches (this means radius, r = 0.50 / 2 = 0.25 inches)
Height (length) = 36 inches

The formula for the surface area of a right circular cylinder is:
Surface Area = 2πr^2 + 2πrh

Plugging in the values:
Surface Area = 2 * 3.14 * (0.25)^2 + 2 * 3.14 * 0.25 * 36
Surface Area = 2 * 3.14 * 0.0625 + 2 * 3.14 * 0.25 * 36
Surface Area = 2 * 3.14 * 0.0625 + 2 * 3.14 * 9
Surface Area = 0.39 + 56.52
Surface Area = 56.91 inches^2

Therefore, the surface area of the steel rod is 56.91 inches^2.

So the answer is 56.91 inches^2.

Answer 4

you sure? which one is the correct answer?

Answer 5

Apologies for the confusion in my previous response.

Let's calculate it again more accurately:

Given:
Diameter = 0.50 inches (radius, r = 0.25 inches)
Height (length) = 36 inches

Using the formula for the surface area of a right circular cylinder:
Surface Area = 2πr^2 + 2πrh

Plugging in the values:
Surface Area = 2 * 3.14 * (0.25)^2 + 2 * 3.14 * 0.25 * 36
Surface Area = 2 * 3.14 * 0.0625 + 2 * 3.14 * 9
Surface Area = 2 * 3.14 * 0.0625 + 56.52
Surface Area = 0.39 + 56.52
Surface Area = 56.91 square inches

Therefore, the correct surface area of the steel rod is 56.91 square inches.

So the answer is 56.91 inches^2.

Answer 6

Marco is baking a cake for a party. The cake is in the shape of a right circular cylinder. He needs to buy frosting for the cake but doesn’t know the surface area of the cake. If the diameter of the cake pan is 13 inches, and the height is 4 inches, what is the surface area he needs to frost? Use 3.14 for π .

265.33 inches^2
163.28 inches^2
1287.88 inches^2
428.61 inches^2

Answer 7

Given:
Diameter = 13 inches (this means radius, r = 13 / 2 = 6.5 inches)
Height = 4 inches

The formula for the surface area of a right circular cylinder is:
Surface Area = 2πr^2 + 2πrh

Plugging in the values:
Surface Area = 2 * 3.14 * (6.5)^2 + 2 * 3.14 * 6.5 * 4
Surface Area = 2 * 3.14 * 42.25 + 2 * 3.14 * 26
Surface Area = 2 * 3.14 * 42.25 + 2 * 3.14 * 26
Surface Area = 265.33 + 163.28
Surface Area = 428.61 inches^2

Therefore, Marco needs to frost a surface area of 428.61 square inches.

So the answer is 428.61 inches^2.