anonymous
  • anonymous
radius of a sphere is 10mm.. what is the circumference of great circle? surface of the sphere? volume of the sphere? leave answers in the terms of pi
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
The formulas are as follows 1. Circumference of great circle = 2(pi)r 2. Surface of Sphere = 4(pi)r^2 3. Volume of the sphere = 4/3(pi)r^3 where r is the radius of the sphere.
anonymous
  • anonymous
so the great circle would be =20pi surface= 400pi volume=4188.79
anonymous
  • anonymous
Well, you have to express the units too. the circumference of great circle is 20pi mm. The surface area is 400pi mm^2 and the volume is 4000pi/3 mm^3. Always remember, a number has no significance unless you have its unit of measure next to it.

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anonymous
  • anonymous
what if you had the great circle of 36pi in, and you had to find the radius, surface, volume?
anonymous
  • anonymous
Have you done equations? In this case, 2(pi)r = 36(pi). You'll have to find r, and then plug it into the other formulas I gave you.
anonymous
  • anonymous
so divide 36pi by 2pi
anonymous
  • anonymous
yes
anonymous
  • anonymous
=18
anonymous
  • anonymous
yes, so the radius = 18. Now you should be able to calculate the surface area and volume using the formulas I gave you.
anonymous
  • anonymous
surface-1296in^2
anonymous
  • anonymous
v=24429.025
anonymous
  • anonymous
for some reason, you're leaving out the pi in the volume. Also, you're leaving out the units (in^3).
anonymous
  • anonymous
i ment to put pi in it..
anonymous
  • anonymous
but is volume right? in terms of pi
anonymous
  • anonymous
No - it is 4/3 * pi * 18^3
anonymous
  • anonymous
so being in the terms of pi it would be=432pi in^3
anonymous
  • anonymous
no - it is 7776*pi in^3
anonymous
  • anonymous
okay i did 18*18 for some reason...
anonymous
  • anonymous
no worries - but you have to memorize the formulas. And use them in an equation. If you're given the volume, then you can easily find the radius. From the radius, you can find the surface area, the circumference etc.

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