Question

What is the approx. volume of the sphere if the surface area is 482.8 mm^2?

Answer 1

To get the volume, you'll need the radius, right? So, to get the radius from the formula: 4*pi*radius^2 = 482.8, how would you isolate the radius variable?

Answer 2

Divide 482.8 by 4 and pi?

Answer 3

Yup, divide by 4pi, let me know what you get.

Answer 4

38.42?

Answer 5

Affirmative, now since that is the radius squared, how would we get just the radius?

Answer 6

Nice vocabulary haha, and I would square root it?

Answer 7

Yes you would.

Answer 8

since the volume formula uses radius^3, you can also raise it to the (3/2) power, which means the square root to the power of three.

Answer 9

6.198?

Answer 10

Correct, now sub what you know into the volume formula: V = (4/3) * pi * radius^3

Answer 11

998?

Answer 12

Looks good to me.

Answer 13

Also, what is the approx. surface area of the sphere?

Answer 14

Well, the circumference = pi * 2 * radius, so solve for the radius and you should be set. LMK if you run into a roadblock.

Answer 15

LMK?

Answer 16

let me know

Answer 17

Wow I am an idiot

Answer 18

R = 5.9969?

Answer 19

Yup, kilometers, big sphere. So plug that into: 4 * pi * radius^2.

Answer 20

451.9

Answer 21

That's the answer.

Answer 22

Sweet! Thanks, I don't know what I would do without your help.