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Two right circular cones of height 16.4 cm and 17.2 cm respectively have base radius of 8.4 cm. These two cones are melted and recast into a sphere. F
Question

Two right circular cones of height 16.4 cm and 17.2 cm respectively have base radius of 8.4 cm. These two cones are melted and recast into a sphere. Find the diameter of the sphere.

A.

16.8 cm

B.

8.4 cm

C.

8.2 cm

D.

8.6 cm

Correct option is A

Height of first cone = 16.4 cm
Height of second cone = 17.2 cm
Radius of both sphere = 8.4 cm
Formula:
Volume of cone =

Volume sphere

Concept:
Total volume of cones = Volume of the sphere
Solution:


Then the diameter of sphere D = 2R = 2×8.4 = 16.8 cm.

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