anonymous
  • anonymous
http://postimg.org/image/rpcwj7gj9/faf27263/ Can anyone help me with 2 geometry questions?! :D
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
no problem, i might have to hop back and forth with another person lol
anonymous
  • anonymous
SO for 22, the lighter sphere's diameter is 4, and the shaded sphere is 12
anonymous
  • anonymous
do you know the sphere volume equation?

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anonymous
  • anonymous
V= 4/3(pi)(r)^3 ?
anonymous
  • anonymous
as for the question itself, you just find the volumes, and subtract from each other
anonymous
  • anonymous
yes correct!
anonymous
  • anonymous
But remember it is DIAMETER, and we want RADIUS, and to get that, we divide the diameter by 2
anonymous
  • anonymous
Then you just plug the values of the radius for the equation and find both, then subtract to find your answer!, find it and i will check
anonymous
  • anonymous
so is the diameter 8?
anonymous
  • anonymous
no, one of the diameter is 4, and one is 12
anonymous
  • anonymous
so find the radius of them both! and then plug them in
anonymous
  • anonymous
ohhh! I didn't see the 12 xD
anonymous
  • anonymous
so I do 4/3 * 3.14 * 6^3 ?
anonymous
  • anonymous
yes sorry! i was helping another person
anonymous
  • anonymous
And you would do the same for the other sphere, whose diameter is 4
anonymous
  • anonymous
and I get 1657.92 - 33.49 ?
anonymous
  • anonymous
How did you get 1657.etc
anonymous
  • anonymous
I plugged 4/3 * 3.14 * (6)^3
anonymous
  • anonymous
hmmm, well 4/3= 1.3333333.... 1.3333.....x3.14 (personally like to use pi but whatever :P)=4.18666666... So then 6^3 equals 216 so 4.1866666666X216=904.32
anonymous
  • anonymous
other one is right :)
anonymous
  • anonymous
Wow xD blonde moment there! Can you help with the other if you have the time? XD
anonymous
  • anonymous
yea! so we know how to find the shaded area quickly, because volume of rectangular prism is l x w x h
anonymous
  • anonymous
Do you know the cylinder volume formula
anonymous
  • anonymous
v=(pi)(r^2)(h)
anonymous
  • anonymous
yes!
anonymous
  • anonymous
So we already know the height and radius. To know these you have to image a bit. The circle/ends of the cylinder take up the whole ends of the prism except for those slivers. The diameter would just be one of the sides, which is 8 in this case. Then we find the radius which is 4
anonymous
  • anonymous
and to find the hieght it is the length of the prism, which is, you guessed it, 32
anonymous
  • anonymous
so then we just subtract the volumes from each other
anonymous
  • anonymous
hope i helped!!!!

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