Question

What is the slant height of a cone of base perimeter 12πcm and height 8cm?​

Answer 1

Answer:

Perimeter of the base = 12π implies 2πr = 12π hence r= 6 cms.

Slant height = (r^2 +h^2)^1/2 = (6^2 + 8^2)^1/2 = 100^1/2 = 10 cms.

Hence the slant height of the cone = 10 cms.