The radius of the cone can be calculated using the formula for the slant height, height, and radius of a cone.
In this case, the slant height (l) is 10, the height (h) is 12, and the radius (r) can be calculated using the Pythagorean theorem: r^2 = l^2 - h^2.
Plugging in the values, we get:
r^2 = 10^2 - 12^2
r^2 = 100 - 144
r^2 = -44
Since the radius cannot be negative, we know we made a mistake in our calculation. However, it appears that we swapped the values of the slant height (l) and the height (h) by mistake. The correct calculation is:
r^2 = 12^2 - 10^2
r^2 = 144 - 100
r^2 = 44
r = √44
r = 2√11
Therefore, the radius of the cone is approximately 6.63.
Use the image to answer the question.
A cone shows a height marked as 12 and a diameter marked as 8, both indicated with perpendicular dotted lines. The slant height is marked as 10.
What is the radius of the cone?
(1 point)
Responses
4
4
8
8
10
10
12
12
Skip to navigation
3 answers
whats the answer
The correct answer is not listed among the options provided. The radius of the cone is approximately 6.63, which is not an option in the given choices.
3 answers