Question

Given: SK = 52 SO ⊥ base SO = 45 Find: R of the sphere

Answer 1

Step-by-step explanation:

SK = 52, SO = 45, and SO ⊥ OK.

Using Pythagorean theorem:

OK² + SO² = SK²

OK² + 45² = 52²

OK = √679

The distance from S to the center is R.  So the distance from the center to O is 45 − R.

The distance from the center to K is R.

So using Pythagorean theorem:

OK² + (45 − R)² = R²

679 + 2025 − 90R + R² = R²

2704 = 90R

R = 1352/45

R = 30 2/45