posted by Mike .
Are these correct
2a) For the cone, find the Lateral Surface Area in square inches. (Hint: Use the pythagorean theorem to find the slant height)
diameter= 12 inches, height= 8 inches
Lateral Surface Area= 301.5928 square inches
2b) Find the volume in cubic inches
Volume = 88.49555 cubic inches
You included the area of the circular base.
I understood that "lateral surface area" excluded the base of the solid.
For the volume I got pi(6^2)(8)/3 = 301.5929
mmmmh, now would that be a coincidence that this answer is the same as the one you got for the total surface area???
so its the same???
no, just a simple coincidence with those numbers.
I tried it with a cone of height 12 and radius 5, resulting in a slant height of 13
the total surface area would be 65pi + 25pi = 90pi and
the volume would be 25pi(12)/3 = 100pi
All we need in one exception to our perceived relationship and it is pooched.