Question

The slant height of a cone whose height and radius are 6 cm and 8 cm respectively is

• A. 8 cm
• B. 12 cm
• C. 10 cm

Answer 1

The correct option is C 10 cm

Given, height of the cone, h = 6 cm
Radius of the cone, r = 8 cm

Since height, radius, and slant height make a right-angled triangle,

Slant height
= $\sqrt{\left(r^2\right)+\left(h^2\right)}$
= $\sqrt{\left(8^2\right)+\left(6^2\right)}$
=$\sqrt{64+36}=10\text{cm}$