How many small solid spheres each of 5 mm radius can be made out of a metallic solid cone whose base has radius 21 cm and height 30cm?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 26460
Volume of cone = (1/3) × (22/7) × r2 × h
Here, r = 21cm and h = 30 cm
Volume of cone = (1/3) × (22/7) × 212 × 30 cm3
The volume of a sphere = (4/3) × (22/7) × r3
Here, r = 5 mm = 0.5 cm
The volume of a sphere = (4/3) × (22/7) × (0.5)3 cm3
Number of spheres that can be made = Volume of cone/volume of a sphere
⇒ {(1/3) × (22/7) × 212 × 30}/{(4/3) × (22/7) × (0.5)3}
Thus, Number of spheres that can be made = 26460