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A right circular solid cone of radius 2.2 cm and height 7.2 cm is melted by recast into a right circular cylinder of height 6.6 cm. What is the square of radius of the base of the cylinder?

A right circular solid cone of radius 2.2 cm and height 7.2 cm is melted by recast into a right circular cylinder of height 6.6 cm. What is the square of radius of the base of the cylinder? Correct Answer 1.76 cm<sup>2</sup>

Given:

radius of cone = 2.2 cm

height of cone = 7.2 cm

height of cylinder = 6.6 cm 

Concept used:

Volume of cone = 1/3(πr2h)

Volume of cylinder = πR2H

Calculation:

1/3(π × r2 × h) = π × R2 × H

⇒ 1/3(2.2 × 2.2 × 7.2) = R2 × 6.6

⇒ 2.2 × 0.8 = R2

∴ R2 = 1.76 cm2

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