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2 points 65. The radius and height of a cylinder are in the ratio 3:2 and its volume is 19,404 cm” then its radius is

Question

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## Answers ( )

Answer:Let the radius beand height be

3x2x.________________________☯

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Given :-To find :-Solution :-Lettheradiusbe3xandheightbe2xAsweknowthat→ Volume of cylinder = πr²h

Where ” r ” is radius, ” h ” is height of a cylinder

Accordingtoquestion→ Volume of cylinder = 19404

→ πr²h = 19404

→ 22/7 × (3x)² × 2x = 19404

→ 22/7 × 9x² × 2x = 19404

→ 22/7 × 18x³ = 19404

→ 22 × 18x³ = 19404 × 7

→ 396x³ = 135828

→ x³ = 135828/396

→ x³ = 343

→ x = ∛343

→ x = 7

Hence,