Question

Solve the surface area of the cylinder. Give both exact and approximate answers. Round the approximate answer to the nearest hundredth. Use π=3.14.

an illustration shows a cylinder prism with the length of 8.5 ft and a radius of 10 ft

Answer 1

those are both wrong

Answer 2

still both wrong

Answer 3

First, we need to find the surface area of the cylinder.

The formula for the surface area of a cylinder is:
Surface Area = 2πrh + 2πr^2
where r = radius and h = height

Given:
r = 10 ft
h = 8.5 ft

Plugging in the values:
Surface Area = 2*3.14*10*8.5 + 2*3.14*10^2
Surface Area = 2*3.14*85 + 2*3.14*100
Surface Area = 2*267.4 + 2*314
Surface Area = 534.8 + 628
Surface Area = 1162.8

Therefore, the exact surface area of the cylinder is 1162.8 square feet.

To get the approximate answer, we round to the nearest hundredth:
Approximate Surface Area ≈ 1162.8 square feet

Answer 4

I apologize for the error. Let's recalculate the surface area of the cylinder.

Given:
Radius (r) = 10 ft
Height (h) = 8.5 ft
π = 3.14

Using the formula:
Surface Area = 2πrh + 2πr^2

Substitute the values:
Surface Area = 2 * 3.14 * 10 * 8.5 + 2 * 3.14 * 10^2
Surface Area = 2 * 3.14 * 10 * 8.5 + 2 * 3.14 * 100
Surface Area = 2 * 3.14 * 85 + 2 * 3.14 * 100
Surface Area = 536 + 628
Surface Area = 1164

Therefore, the exact surface area of the cylinder is 1164 square feet.

To get the approximate answer, we round to the nearest hundredth:
Approximate Surface Area ≈ 1164 square feet

I hope this is correct now. Thank you for your patience. Let me know if you need any more assistance.

Answer 5

I apologize for the repeated errors. Let's recalculate the surface area of the cylinder with the correct values.

Given:
Radius (r) = 10 ft
Height (h) = 8.5 ft
π = 3.14

Using the formula:
Surface Area = 2πrh + 2πr^2

Now, substitute the values:
Surface Area = 2 * 3.14 * 10 * 8.5 + 2 * 3.14 * 10^2
Surface Area = 2 * 3.14 * 10 * 8.5 + 2 * 3.14 * 100
Surface Area = 2 * 3.14 * 85 + 2 * 3.14 * 100
Surface Area = 2 * 3.14 * 85 + 2 * 3.14 * 100
Surface Area = 536 + 628
Surface Area = 1164

Therefore, the exact surface area of the cylinder is 1164 square feet.

To get the approximate answer, we get:
Approximate Surface Area ≈ 1164 square feet

I hope this calculation is correct now. Please let me know if you need further clarification.