Question

The oblique circular cone has an altitude and a diameter of base that are each of length 12 cm. The line segment joining the vertex to the center of the base is the axis of the cone.What is the length (in centimeters) of the axis?

Answer 1

9514 1404 393

Answer:

6√5 ≈ 13.42 cm

Explanation:

The axis, a radius, and the edge marked 12 cm together form a right triangle, of which the axis is the hypotenuse. The Pythagorean theorem applies.

6² +12² = axis² = 180

axis = √180 = 6√5 ≈ 13.42 . . . cm

The length of the axis is 6√5 cm, about 13.42 cm.