Anyone ready for a math question?
@marissalovescats
Okay so the equation for the Surface Area is: 4(pi)(r^2) So here in this picture the diameter is 50 So that makes the radius what?
25?
Exactly! So: SA=4(pi)(25^2) Also notice this answer is not in terms of pi so that means you will have to multiple whatever you get for 4(25^2) by pi
4/3(pi)(25^2) = 2500/3(pi)
No that is the Volume of a Sphere equation. Surface are is just: 4(pi)(r^2) There is not 4/3
When is it the right time to do 4/3 and just 4?
\[SA = 4 \pi r^2 ~~~~~ r = \frac{ d }{ 2 }\]
2500 (pi)
@iambatman Thank you we covered that I've been helping him for a couple questions now
4/3 is involved with finding the Volume of a sphere. And yes but remember what I said, the answers here don't have pi in it so that means you need to multiply 2500 by pi
So what do you get? (you'll have to round it to the nearest whole number)
What I did was 4(pi)(25^2) = 2500 cm^2
Yes but 25^2(4) = 2500 and then you still have the pi So yes it is 2500pi But remember pi is a number do 3.14....it repats So in order to get the answer you have to multiple 2500 by your pi button on the calculator. You know you have to multiply it by pi because there is no pi in any of the answers so this means they want a full number answer.
So what is 2500 times pi?
2500 pie's
thats a lot of pies
I know ew. I mean I bake pies, I bake a lot. I just don't really like pie.
I'm the classic baking cat lady. Hi.
Oh you meant, I have to multiply 2500 by 3.14 = 7850
Okay but you multiplied it by 3.14 and 3.14 is just a rounding of pi. You have to hit your pi button. And when you do you actually get 7853.98 which rounds to 7854
HOld on, let me check.
Sorry, I have my calculator on degree mode.
It's important to hit your actual pi button and not just multiplying it by 3.14 because you get further from the actual real answer because you're missing a lot of digits because pi is never ending.
had*
So on your calculator just do: 2500 *hit times button* *hit pi button* *hit enter* And you should come out to 7853.981634
Yes I did that but I had it on degree mode and I got 2500
It does not matter what mode you are in, you still get the same answer. I just did it both ways.
But either way, the Surface Area is 7854 cm^2
Just for funsies, in calculus you can say that an infinitesimal change of the radius changes the volume by an infinitesimal amount, and that extra little "egg shell" of volume is the surface area. \[\frac{d}{dx}(\frac{4}{3} \pi r^3) = 4\pi r^2\]
Not on my calculator.
Well either way, we got the answer
But either way.
And yes @Kainui I sees how that is with using the calculus
Can't find the derivative button on my calculator either. What is this nonsense @Kainui
No but you can take an integral :D
I'm getting a pink TI 84+ Silver Edition with colored screen for me 18th birthday coming up.. Probably too excited about it. I already named her, but don't have her yet.
I took an integral one time. Felt super guilty, so I returned it.
LOL
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