A solid metallic sphere of radius 8 cm is melted and recasted as a cone of height 8 cm. Find the base radius of the cone (in cm).
Answer & explanation
Correct answer: option 3
Solid metallic sphere of radius 8 cm is melted
Volume of sphere = 4Πr3/3 = 4Π(8)3/3
The same is recasted as a cone of height 8 cm
Volume of cone = Πr2h/3
⇒ Πr28/3 = 4Π(8)3/3
r2 = 4*82
r = 16
The correct answer is Option (3) → 16