Find the slant height of a cone if the diameter of the base is 24.66 mm and the height is 12.45 mm.
A)37.11 mm
B)8.49 mm
C)17.52 mm
D)21.29 mm

Question

Quizplus · Accepted Answer

First, we need to find the radius of the base by dividing the diameter by 2:

radius = 24.66 mm / 2 = 12.33 mm

Next, we can use the Pythagorean theorem to find the slant height:

slant height = sqrt((radius^2) + (height^2))

slant height = sqrt((12.33 mm)^2 + (12.45 mm)^2)

slant height = sqrt(152.1884 mm^2)

slant height ≈ 17.52 mm

Therefore, the slant height of the cone is approximately 17.52 mm, which is option C.

Find the Slant Height of a Cone If the Diameter