Hello I was wondering if you can help me with some math. I cant figure this problem and when my friend helped me they came up with a different answer.
The question is find the surface area of the cylinder. The radius is 8 and the height is 8. Use 3.14 for pi and round to the nearest tenth.
A. 2009.6
B. 401.9 (My friend got this one)
C. 803.8 (I got this one)
D. 602.9
Thanks Sebby-Chan ^.^
the formula is a = 2pi*r(r+h)
2*pi*8(8+8) = 803.8
If you just want the lateral area, or the area of the two ends, then you get half that.
So, reread the question and make sure you are both on the same page for how much of the area you want to consider.
Okay thank you. ^.^
Of course, I'd be happy to help you with this math problem!
To find the surface area of a cylinder, we need to calculate the sum of the areas of the two bases and the lateral surface area.
First, let's find the area of each base, which is a circle. The formula to find the area of a circle is given by A = πr^2, where A is the area and r is the radius.
Given that the radius of the cylinder is 8, we can plug it into the formula:
A = 3.14 * 8^2
A = 3.14 * 64
A ≈ 201.06 (rounded to the nearest hundredth)
Now, let's calculate the lateral surface area. The formula to find the lateral surface area of a cylinder is given by A = 2πrh, where A is the area, r is the radius, and h is the height.
Given that the radius is 8 and the height is 8, we can substitute these values into the formula:
A = 2 * 3.14 * 8 * 8
A ≈ 402.88 (rounded to the nearest hundredth)
Finally, we can find the surface area of the cylinder by adding the areas of the two bases and the lateral surface area:
Surface Area = 2 * base area + lateral surface area
Surface Area ≈ 2 * 201.06 + 402.88
Surface Area ≈ 402.12 + 402.88
Surface Area ≈ 805 (rounded to the nearest whole number)
Therefore, the correct option for the surface area of the cylinder is C. 803.8.
I hope this helps! Let me know if you have any other questions.