I'm finding only a portion of the volume of a cone.
The picture is shown here:
http://i55.tinypic.com/2i0c7dj.jpg
I'm finding the volume of only the shaded part.
Here's my equation:
1/3 pi (5)squared (12) - 1/3 i (5)squared (2/3) 12
If my calculations are correct...
i get 100 pi - 66. 666 pi which is around 33.334 pi
and equals about 104. 72 cm cubed.
Is my answer correct? If wrong, could someone show me the work and how to get to the answer in the correct way? Thanks!
The picture is shown here:
http://i55.tinypic.com/2i0c7dj.jpg
I'm finding the volume of only the shaded part.
Here's my equation:
1/3 pi (5)squared (12) - 1/3 i (5)squared (2/3) 12
If my calculations are correct...
i get 100 pi - 66. 666 pi which is around 33.334 pi
and equals about 104. 72 cm cubed.
Is my answer correct? If wrong, could someone show me the work and how to get to the answer in the correct way? Thanks!
-
Volume of whole cone = (1/3)(pi)(r^2)(h)
A whole cone goes all 360 degrees around, but this section only goes 120 degrees.
Therefore the section is 1/3 of a whole cone.
Volume of third of cone = 1/3(1/3)(pi)(r^2)(h)
=(1/9)(pi)(5cm)^2(12cm)
=104.7 cm^3
So yes, your answer is correct. :)
A whole cone goes all 360 degrees around, but this section only goes 120 degrees.
Therefore the section is 1/3 of a whole cone.
Volume of third of cone = 1/3(1/3)(pi)(r^2)(h)
=(1/9)(pi)(5cm)^2(12cm)
=104.7 cm^3
So yes, your answer is correct. :)