Help please, will medal.

A cone is inscribed in a regular square pyramid. If the pyramid has a base edge of 6" and a slant height of 9", find the volume of the cone.

12√2

18√2

27

Question

Help please, will medal.

 A cone is inscribed in a regular square pyramid. If the pyramid has a base edge of 6" and a slant height of 9", find the volume of the cone. 

12√2 

18√2 

27

sagewilson · Answer

@mathmale @zepdrix

sagewilson · Answer

I don't think its 27.

thatonekidkobe · Answer

http://openstudy.com/updates/4e1b7acb0b8bc22757480494 bruh

sagewilson · Answer

"your answer is 25.47 in^3"

That's not even an answer choice.

thatonekidkobe · Answer

If by "find the volume of the cone," you mean find the volume of the cone inside the pyramid then ok. I don't know what you mean otherwise.

sagewilson · Answer

How would I go about putting it in square root form?

thatonekidkobe · Answer

Assuming the cone is inside the pyramid and the cone has a diamter of 6 aka a radius of 3 

the slant height is 9 and with Pythagorean therom 9^2 = 3^2 + height^2 therefore height = sqrt 72 

Area of cone is 1/3 * pi * r^2 * h 
1/3 * pi * 3^2 * sqrt(72) 
3*pi*sqrt(72) = about 79.972 inches cubed

sagewilson · Answer

72√2

sagewilson · Answer

The answer is 18√2π