A solid cone of radius 5cm and height 8cm is melted and recast into smaller spheres of radius 0.5cm. Find the number of spheres.
Answers
Answered by
6
Answer:
400
Step-by-step explanation:
Find the volume of the cone:
Volume = 1/3 πr²h
Volume = 1/3 π(5)²(8) = 200π/3 cm³
Find the volume of sphere:
Volume = 4/3 πr³
Volume = 4/3 π(0.5)³ = π/6 cm³
Find the number of sphere:
Number of sphere = 200π/3 ÷ π/6
Number of sphere = 400
Answer: 400
Similar questions