5. Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale. 11in, 13in

1,696in2
898in2
5,862in2
2,959in2

Its A

Well, let's bring in the circus and calculate the surface area of this cylinder!

To find the surface area of a cylinder, we need to calculate the areas of both the two bases and the curved surface.

First, the base area is calculated by squaring the radius (half the diameter) and multiplying it by π (pi). So, the base area is approximately 121π in^2.

The curved surface area is found by multiplying the height of the cylinder by the circumference of one of the bases. The height is given as 13 inches, and the circumference of one base is found by multiplying the diameter (which is twice the radius) by π. So, the circumference is approximately 26π inches. Therefore, the curved surface area is approximately 338π in^2.

Now, we add the base area and the curved surface area to find the total surface area.

Approximately, 121π in^2 + 338π in^2 = 459π in^2.

To the nearest whole number, this gives us approximately 1441 in^2.

So, the correct answer is 1,441in^2.

Now, back to the circus! Tada! 🎪🎉

To find the surface area of a cylinder, you need to calculate the sum of the areas of the two circular bases and the lateral surface area.

The formula for the surface area of a cylinder is:

Surface Area = 2πr² + 2πrh

Given the dimensions provided:
Radius (r) = 11in
Height (h) = 13in

Let's plug these values into the formula:

Surface Area = 2π(11²) + 2π(11)(13)

Simplifying further:

Surface Area = 2π(121) + 2π(143)

Surface Area = 242π + 286π

Surface Area = 528π

Now, using the value of π approximately equal to 3.14, we can evaluate the expression:

Surface Area ≈ 528 * 3.14

Surface Area ≈ 1,658.88

Rounding to the nearest whole number, the surface area of the cylinder is approximately 1,659in².

Therefore, the closest option is 1,696in².

To find the surface area of a cylinder, we need to calculate the sum of the areas of its curved surface and its two circular bases.

The formula to find the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh

Given:
Height (h) = 11in
Radius (r) = 13in

First, let's calculate the area of the curved surface:
Curved Surface Area = 2πrh

Curved Surface Area = 2 * π * 13in * 11in
Curved Surface Area = 286πin² (approximately 898.29in²)

Next, let's calculate the area of the two circular bases:
Base Area = 2πr²

Base Area = 2 * π * (13in)²
Base Area = 338πin² (approximately 1,067.95in²)

Now, add the area of the curved surface and the area of the bases:
Surface Area = Curved Surface Area + 2(Base Area)

Surface Area = 898.29in² + 2(1,067.95in²)
Surface Area = 898.29in² + 2,135.9in²
Surface Area = 3,034.18in² (approximately 3,034in²)

Therefore, the nearest whole number to the surface area of the cylinder is 3,034in².

idk about this but lets see