Multiple choice

A solid metallic cylinder of base radius 3 cm. and height 5 cm. is melted to form cones, each of height 1 cm. and base radius 1 mm. The number of cones is -

  1. 3500

  2. 4500

  3. 7500

  4. 13500

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cylinder volume = πr²h = π × 3² × 5 = 45π cm³. Cone volume = (1/3)πr²h. Note: cone radius is 1 mm = 0.1 cm. Cone volume = (1/3) × π × (0.1)² × 1 = π/300 cm³. Number of cones = Cylinder volume / Cone volume = 45π / (π/300) = 45 × 300 = 13500.