Question

what is the length of the side of the cone? 51 cm 280 cm cm

Explanation:

Step1: Find the radius of the base

The diameter of the base is 280 cm, so the radius \( r = \frac{280}{2} = 140 \) cm.

Step2: Apply the Pythagorean theorem

The slant height \( l \) of the cone, the height \( h = 51 \) cm, and the radius \( r = 140 \) cm form a right triangle. Using the Pythagorean theorem \( l = \sqrt{r^2 + h^2} \).
Substitute \( r = 140 \) and \( h = 51 \):
\( l = \sqrt{140^2 + 51^2} = \sqrt{19600 + 2601} = \sqrt{22201} = 149 \)

Answer:

149