Question

if a solid right circular cylinder made of iron is heated to increase its radius and height by 1% each then by how much percent does the volume of the solid increase

Answer 1

let it's radius and height are r and h . then it's volume will be 1/3πr^2h . now if the r and h are increased by 1% , then the new radius will be 101r/100 and new height will be 101r/100.

therefore it's new volume will become1/3π1030301r^2h .

therefore the percentage increase in it's volume will be 3%

answer is 3%

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