Find the radius of a sphere. Give two points on its circumference.

Points are P=(7, -2, -6) and Q= (5, -9, 4)

Raw Transcript

Hello everyone, Tom from everystepcalculus.com, everystepphysics.com. We’re gonna do a calculus three problem regarding a sphere. And we’re given two points on it’s circumference. Outer shell, you know. And let’s do it. Index 8 to get to my menu,

find the radius. Scroll up to get to the bottom of the alphabet, cause the sphere radius is in the S’s and closer to the W’s than the A’s. There’s sphere radius there. Choose that one. We’re gonna put our points in.You have to press alpha first. Alpha 7, Alpha minus 2. Alpha minus 6. Alpha 5 Alpha minus 9. Alpha 4. I always show you what you’ve entered, you can change it if you want. Looks okay. Now I’m gonna find the radius number 4. Here’s the formula. Write this stuff on your paper. And R equals these calculations here, just as if you did it yourself without mistakes. And the answer. Pretty neat, huh? Everystepcalculus.com, go to my site, buy my programs if you want to pass calculus, and subscribe if you want to see more videos from me. Have a good one.

Let P1 = (-7, -9, 7) and P2 = (0, 1, 1) be endpoints of a diameter

Raw Transcript

Hello everyone, Tom from everystepcalculus.com, everystepphysics.com. A problem regarding a sphere and the standard equation a person submitted, and let me show you how I do it in my programs. Index 8 to get to my menu, my main menu. I’m gonna scroll up to get to the S’s at the bottom, it goes to the bottom of the alphabet so it’s easier and quicker to get there. You can press second and these cursors to go screen by screen on your calculator. Those are all the choices you have, and we’re gonna have sphere equation.

And we’re gonna enter our P, Q points. All professors do things different, which I’m against in calculus. Well, I’m not too thrilled about calculus at all. We have p1 and p2 here, in most cases it’s P and Q points. You have to press alpha before you enter anything in these entry lines here. Alpha, the first one is minus 7. There it is. Alpha minus 9. 7 is the P point. These are point on the outside of a sphere, and they give you two points are you’re supposed to find the radius. And different types of things. Not easy. Even if you know the formula it is not easy, you’re gonna mess up on the minus signs or whatever. That’s why the program steps up so you don’t mess up, and I didn’t mess up. The Q point is Alpha 0, Alpha 1. Alpha 1 for the Z point. I always show you what you’ve entered you can change it if you want. I say it looks pretty good. And we’re gonna choose equation, standard equation, number 5. There’s the formula. And you have to find the xo, yo, zo first Which is this system here. That equals this. Standard equation that is these entered into the equation. Here’s the standard equation. Pretty neat, huh? Everystepcalculus.com. Now I noticed, with the minus in minus, you might have to think in life a little bit, so you might have to say, oh there’s a minus and minus, minus times a minus is a plus. So you might put on your paper, x plus 7, over 2. Or same thing with y. Y equals minus, minus a minus, which is equal to a plus. Which would be y plus 4, and this would be z plus 4. So, keep that in mind. Have a good one. Everystepcalculus.com, go to my site, buy my program if you want to pass calculus. Subscribe if you want to see more movies from me. Thanks and have a good one.

Let P = )5, -2, 3) and Q = (0, 4, -3) the endpoints on the circumference sphere.

Raw Transcript

Hello again everybody this is Tom from everystepcalculus.com, everystepphysics.com.

We’re gonna do some calculations in a sphere. This is generally calculus three. And we’re gonna find the midpoint, or center, of a sphere. Index 8 to get to my menu. You can scroll up to get to the bottom of the menu so you can get to the S section quicker. You can press second and the cursor here to get screen by screen instead of one click like I’m doing. This is a simulator. Now we’re gonna choose here, center and midpoint. We’re gonna enter our P and Q points pressing Alpha first. Alpha 5. minus 2 Alpha 3 The Q point is Alpha 0, Alpha 4

Alpha minus 3. Now we gotta go back and change them. Alpha 5 Alpha minus 2 Alpha 3 Alpha 0 Alpha 4. And Alpha minus 3. I always show you what you’ve entered, you can change it if you want, which we just did. Say it’s okay. Now I’m gonna press number 1. Number 3 for midpoint Here’s the calculations: xo, yo, zo. And the answer. Everystepcalculus.com, go to my site buy my programs if you want to pass calculus.

And also subscribe so you can see other videos I might make. Hey have a good one.