Question

A cylinder is labeled with a height of 8 yards and a radius of 7 yards. Find the surface area of the cylinder. Use the approximation 3.14 for pi.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of a cylinder is calculated using the following formula:

Surface Area = 2πr^2 + 2πrh

Where r is the radius and h is the height of the cylinder.

Given:
Radius (r) = 7 yards
Height (h) = 8 yards
Approximation of pi (π) = 3.14

Plugging in the values:
Surface Area = 2 * 3.14 * 7^2 + 2 * 3.14 * 7 * 8
Surface Area = 2 * 3.14 * 49 + 2 * 3.14 * 56
Surface Area = 2 * 153.86 + 2 * 175.84
Surface Area = 307.72 + 351.68
Surface Area = 659.4

Therefore, the surface area of the cylinder is 659.4 square yards.

Answer 2

no, incorrect, do it again without considering Lateral Surface Area please

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the error. To find the surface area of the cylinder without the lateral surface area, we need to consider the top and bottom circles only.

The formula for the surface area of the cylinder excluding the lateral surface area is:

Surface Area = 2 * π * r^2

Given:
Radius (r) = 7 yards
Approximation of pi (π) = 3.14

Plugging in the values:
Surface Area = 2 * 3.14 * 7^2
Surface Area = 2 * 3.14 * 49
Surface Area = 2 * 153.86
Surface Area = 307.72

Therefore, the surface area of the cylinder (excluding the lateral surface area) is 307.72 square yards.