A cone has a height of #5 cm# and its base has a radius of #5 cm#. If the cone is horizontally cut into two segments #1 cm# from the base, what would the surface area of the bottom segment be?
1 Answer
Oct 22, 2016
Explanation:
The surface area of a cone is:
We can calculate it for the cone at 5 cm height and at 4 cm height, subtract them, and thereby find the sliced off bit.
At h=5, r=5:
The angle of the cone doesn't change as we slice up the cone (it's 45 degrees), so the radius changes with the height. Therefore at h=4, r=4:
The difference is: