Cone generatrix 5 m, height 4 m. Find the radius of the base.

Generating AB = 5 m, height AO = 4 m, OB – base radius.
The generatrix of the cone, its height and base radius are a right-angled triangle AOB. Since the angle AOB is 90 °, then AB = 5 m is the hypotenuse (since it lies opposite the angle equal to 90 °), then AO = 4 m and OB are legs.
By the Pythagorean theorem:
AB² = AO² + OB².
Substitute the known values into the expression and find the length of the OB:
5² = 4² + OB²;
25 = 16 + OB²;
OB² = 25 – 16;
OB² = 9;
OB = √9;
ОВ = 3 m.
Answer: OB = 3 m.