Find the slant height for a right circular cone with a radius of 3 cm and a height of 5 cm.

Solution:

It is given that,

A right circular cone with a radius of 3 cm and a height of 5 cm.

Let us assume,

l be the slant height, r be the radius and h be the height of the right circular cone.

h² = l² + r²

l² = h² - r²

Substituting the values

l² = 5² - 3²

l² = 25 - 9

So we get

l² = 16

l = √16

l = 4 cm

Therefore, the slant height for a right circular cone is 4 cm.

Find the slant height for a right circular cone with a radius of 3 cm and a height of 5 cm.

Summary:

The slant height for a right circular cone with a radius of 3 cm and a height of 5 cm is 4 cm.