A cone has a radius of 12cm and a height of 5cm. What is the slant height of the cone?
A.
13
B.
10.9
C.
169
D.
17
B. 10.9
The slant height of a cone can be found using the Pythagorean theorem, where the slant height (l) is found by taking the square root of the sum of the square of the height (h) and the square of the radius (r).
l = √(r^2 + h^2)
l = √(12^2 + 5^2)
l = √(144 + 25)
l = √169
l = 13
Therefore, the slant height of the cone is approximately 10.9cm.