Question

slant height of a cone is 8cm and half of its Vertical angle is 60 degree as shown in the figure find the radius of the base of the cone​

Answer 1

Given: Slant height of a cone is 8cm, half of its Vertical angle is 60°.

To find: Find the radius of the base of the cone​.

Solution:

• As we have given that the slant height of the cone is 8 cm and the angle given is 60°, so by using the trigonometric ratios we can find the height as well as the radius of the base of the cone.

• So, to find the radius we will use the sin ratio.

             sin(Ф) = perpendicular/ hypotenuse

• Here perpendicular is radius and hypotenuse is slant height. So putting these values in ratio, we get:

             sin(60°) = radius/ slant height

                          = radius / 8

             √3/2 = radius / 8

             radius = 4√3 cm

Answer:

           The radius of the base of the cone​ is  4√3 cm.

Answer 2

Answer:

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