Question

the slant height of frustum of cone is 5 cm .if the difference between the radii of its of two circular ends is 4cm ,write its height.​

Answer 1

QUESTION

The slant height of frustum of cone is 5 cm .if the difference between the radii of its of two circular ends is 4cm ,write its height.

$\huge{\boxed{\mathfrak{\red{ANSWER}}}}$

Let r and R be the radii of the circular ends of the frustum of the cone and h be the height of the frustum.

R-r = 4 and l = 5 cm 

l² = (R-h)² + h²

5² = 4² + h²

h² = 25 - 16 

h² = 9 

h= 3 

Hence , height of the frustum is 3 cm