12 solid spheres of the same radii are made by melting a solid metallic cylinder of base diameter 2cm and height 16cm. Find the diameter of the each sphere.
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Last updated at Oct. 23, 2020 by
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Question 15 12 solid spheres of the same radii are made by melting a solid metallic cylinder of base diameter 2cm and height 16cm. Find the diameter of the each sphere. Now, Volume of Cylinder = Volume of 12 spheres Volume of Cylinder = 12 Γ Volume of 1 Sphere π Γ (Radius Cylinder)2 Γ Height of Cylinder = 12 Γ 4/3π Γ (Radius of Sphere)3 π Γ 1 Γ 16 = 12 Γ 4/3 π Γ (Radius of Sphere)3 (16π )/16π = (Radius of Sphere)3 1 = (Radius of Sphere)3 (Radius of Sphere)3 = 1 Radius of Sphere = 1 cm Thus, Diameter of Sphere = 2 cm
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CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
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