Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
If a hollow sphere of internal and external diam- eters 4 cm and 8 cm respectively is melted into a cylinder of base diameter 8 cm, then the height of 788 the cylinder is 13
(a)4 cm
(b)cm 3 14
(c)cm
(d)5 cm 3
Answer
Answer (as printed): C
Explanation
Let the height of the cylinder be h cm. 4 3 3 Then, π [(4) – (2) ] = π × 4 × h 2 3 4 4 × 56 14 ⇒ × π × 56 = π × 16 h ⇒ h = = cm. 3 3 × 16 3
Explanation as extracted from the printed page; notation may be imperfect.