A cone has a radius of 24cm and a height of 70cm. What is the slant height of the cone?
A.
94
B.
65.8
C.
5476
D.
74
B. 65.8
To find the slant height of the cone, we can use the Pythagorean theorem.
The slant height (l) can be found by using the formula l = √(r^2 + h^2), where r is the radius and h is the height of the cone.
Substitute the values given in the formula: l = √(24^2 + 70^2)
l = √(576 + 4900)
l = √5476
l = 65.8
Therefore, the slant height of the cone is 65.8cm. Option B.