Question

find the slant height of the cone if the radius of the Base is 6 cm and perpendicular height is 8 cm

Answer 1

Hope this will help you

Answer 2

The slant height of the cone is 10 cm

Given : The radius of the base is 6cm and perpendicular height is 8cm.

To find : The slant height of the cone.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the slant height of the cone)

If we associate the base radius, perpendicular height and slant height with a right angled triangle, then we will get :

• perpendicular height = perpendicular of right angled triangle
• base radius = base of right angled triangle
• slant height = hypotenuse of right angled triangle

Now, applying Pythagoras theorem,

(Slant height)² = (perpendicular height)² + (base radius)²

(Slant height)² = (8)² + (6)²

(Slant height)² = 64+36

(Slant height)² = 100

Slant height = √100 = 10 cm

(This will be considered as the final result.)

Hence, the slant height of the cone is 10 cm