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suppose the lateral area of a right circular cone and the area of a sphere is equal 64π inches^2. if the radius of the sphere and the radius of the base of the cone are equal, what is the volume of the cone?

Mathematics
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Is the question complete..? :D
Sorry! the question is now complete please help me :( thanks!
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Other answers:

i really don't know how it looks like,but i guess what you did was right. :)
how can I find the total area and volume?:(
what's the prism ? what's pyramid? make your figure properly ... this shouldn't be difficult.
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regular hexagonal prism with 10-in long sides and apothem of length 9-in long. uhh, yeah! I think so.
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miyuri what is 12 there?
experimentX yeah but how can i find the volume and total area?
It would be essential in finding the volume...
To find the total area multiply the area of triangle by 6 + area of hexagon..
volume of pyramid = 1/3* area of hexagon * height
for surface area ... |dw:1350221785183:dw|
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Total area = \[(\frac{15*10}{2}*6)+(\frac{10*9}{2}*6)\]
yeah ... looks like that's correct!!
Gee! thanks a lot!!!!! but how is this? find the volume of the region outside the pyramid and inside the prism.
find the volume of pyramid ... find the volume of prism ... subtract 1 from 2
Volume = \[(\frac{10*9}{2}*6)*\frac{1}{3}*12 - (\frac{10*9}{2}*6*12)\]
lol ... you did the opposite? is height 12??
I took the height of the pyramid...
should be something like this if 12 is height \[ - (\frac{10*9}{2}*6)*\frac{1}{3}*12 + (\frac{10*9}{2}*6*12) \]
Oops yeah @experimentX I changed the sides of the equation... :D
well ...i guess that it is!!
so 4320 is the volume?=)
What is the area of the base and the height?
Yeah @gandako U are correct.. volume=4320
I found the height from the triangle drawn above.. x=12
but how about the are of the base @Miyuru ?
Base = side of the hexagon
i can't understand:(
From which step are you confused?
here: volume of pyramid=1/3 * area of the base *height how can get the are of the base?
Here the base is the hexagon and it's area is six times the area of a triangle...
6 x bh/2 is this? what is the value of b in there?
b = 10

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