Two metallic right circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm… · ABC26GN4775
Subject: General Aptitude · Chapter: Volume and Surface Area
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
No answer key was printed for this question.
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.