NCERT Solutions for Class 10 Maths Chapter 13
Important NCERT Questions
Surface areas and Volumes,
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 13.3
Page No:251
Questions No:1
A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.
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Radius of metallic sphere (r₁) = 4.2 cm, radius of cylinder (r₂) = 4.2 cm
Let, the height of cylinder = h
According to question, volume of sphere = Volume of cylinder
⇒ 4/3πr₁³ = πr₂²h ⇒ 4/3π(4.2)³ = π(6)²h
⇒ h = 4/3 × (4.2 × 4.2 × 4.2/36) = 1.4 × 1.4 × 1.4 = 2.74 cm
Hence, the height of cylinder is 2.74 cm.
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