Perpendicular height of a cone is 12 cm and its slant height is 13 cm.

1.	Perpendicular height of a cone is 12 cm and its slant height is 13 cm. Find the radius of the base of the cone .
Answer» Given: Height (h) = 12 cm, length (l) = 13 cm To find: Radius of the base of the cone (r) Solution: l² = r² + h² ∴ 13² = r² + 12² ∴ 169 = r² + 144 ∴169 – 144 = r² ∴ r² = 25 ∴ r = √25 … [Taking square root on both sides] = 5 cm ∴ The radius of base of the cone is 5 cm.

Perpendicular height of a cone is 12 cm and its slant height is 13 cm. Find the radius of the base of the cone .

Answer»

Given: Height (h) = 12 cm, length (l) = 13 cm

To find: Radius of the base of the cone (r)

Solution:

l² = r² + h²

∴ 13² = r² + 12²

∴ 169 = r² + 144

∴169 – 144 = r²

∴ r² = 25

∴ r = √25 … [Taking square root on both sides]

= 5 cm

∴ The radius of base of the cone is 5 cm.