The radii o

Given height of frustum = h =6 cm

Radius of top = r = 6 cm

Radius of bottom = R = 14 cm

Let the slant height of the frustum be ‘ℓ’ cm

We know in frustum

(Slant height)² = (height)² + (R – r)²→eqn1

⇒ ℓ² = 6² + (14 – 6)² (putting values of r, R and h in eqn1)

⇒ ℓ² = 36 + 8²

⇒ ℓ² = 36 + 64

⇒ ℓ² = 100

⇒ ℓ = √100

∴ ℓ = 10 cm

Slant height of the frustum is 10 cm.