A cylinder is melted and recast into 8 smaller cylinders of the same height. If the original radius was 6 cm and height 10 cm, find the radius of each small one?
Show answer & explanation
Correct answer: D
Explanation
Volume of cylinder = 8 × Volume of small cylinder
π × 6² × 10 = 8 × π × r² × 10
6² = 8r²
36 = 8r²
r² = 36/8 = 4.5
r = √4.5 ≈ 2.12 cm
Radius of each small cylinder = 2.12 cm