Question

Help with math
Surface Area ss below vvv

Answer 1

Do you know the surface area formula of a cylinder?

Answer 2

No

Answer 3

The SA formula for a cylinder is= SA=2*3.14*R*H+2*3.14*R^2

Answer 4

ooh
So how would we do this?

Answer 5

Lets start by doing the first step.
Which is 2 times 3.14

Answer 6

6.28
I'm sorry if i dont answer im a little busy with some stuff

Answer 7

OKay, Next step Multiply that by the radius and then multiple that my the height

Answer 8

*by

Answer 9

hold on brb

Answer 10

sheeesh

Answer 11

Okay back sorry I took so long.. can you guys help me?

Answer 12

Looks like they all had to go somewhere. Technically, I'm running late too, but why the heck not?

First, from this we see that the formula for total surface area of a cylinder would be\[TSA_{cylinder}=2πrh+2πr2\]This is usually the formula used. However... I have to check. Are you doing TOTAL surface area or LATERAL surface area? The question isn't specifying from what I can see, but maybe you learned about a specific one in class.

Answer 13

Total surface area.

Answer 14

Okay, good. We're on the right track then. Let's look at the data given from the diagram: \(r=10yd\) and \(h=16yd\). Since the units are all the same, we will ignore using it till the end to avoid confusion (but remember to put the units back in at the end!)\[\therefore TSA_{cylinder}=2πrh+2πr2=2π(10)(16)+2π(10)^2\]Sorry for the typo earlier, that should be a SQUARE (exponent 2) at the end of the formula. Mistyped there.

Answer 15

Okay

Answer 16

So now we need to simplify the equation to find the TSA value! First, let's simplify some multiplication and exponent stuff.\[2\pi(160)+2\pi(100)\]Now we notice that both of these are multiplied by \(2π\) which means we can do reverse Distributive Property:\[2\pi(160+100)=2\pi(260)\]The final result should then be \(2\cdot260\cdot\pi→520\pi\).
So, unless you are asked to simplify further, that should be your answer.

Do you need to keep going or are they okay with you keeping it at the \(\pi\) form?

Answer 17

Hey - sorry, I have to run soon. But if you need to simplify FURTHER then just do this:\[520\cdot3.14\]and that should work out. But most of the time teachers are OK with you sticking with the \(\pi\) format.

Cheers!
- Kitt

Answer 18

Okay thanks

Answer 19

really did help