Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
Two metallic right circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each, have been melted together and recast into a sphere. Find the diameter of the sphere.
Answer
Answer (as printed):
Explanation
Volume of sphere = Volume of 2 cones = 1 π × (2.1)2 × 4.1 + 1 π × (2.1)2 × 4.3 cm 3 = 1 π × (2.1)2 (8.4) cm 3 . 3 3 3 Let the radius of the sphere be R. 4 1 ∴ πR 3 = π (2.1)3 × 4 or R = 2.1 cm. 3 3 Hence, diameter of the sphere = 4.2 cm.
Explanation as extracted from the printed page; notation may be imperfect.