Question

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

• A. 10 cm
• B. 6 cm
• C. 8 cm
• D. 12 cm

Answer 1

The correct option is A

10 cm

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

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

Slant height
= $\sqrt{\left(r^2\right)+\left(h^2\right)}$
= $\sqrt{\left(8^2\right)+\left(6^2\right)}$
=$\sqrt{100}$
= $10cm$