Math, asked by tjlewis200, 1 year ago



If the height of the cylinder is halved and the diameter is doubled, by what factor will the volume of the cylinder change?
A) 2
B) 4
C) 6
D) 8

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Formulas
Geometry
(MGSE8.G.9) Know Formulas For Volume
ID: 135003

Answers

Answered by PrateekStar1
5
hello friend , here is your answer

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previous volume = πr²h

if diameter is doubled , i.e.

d=2r×2=4r

so , radius changed =2r

height =h/2

present volume = π×2r×2r×h/2

=2πr²h

=2× previous volume

thus volume is increased by factor 2

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Answered by PravinRatta
1

Case 1:-

Height of the cylinder(h1) =h

Diameter of the cylinder (d1)=d

Radius of the cylinder (r1)=r=d/2

Volume of the cylinder (V1)= π(r1)²h1

=πr²h

Case 2:-

Height of the cylinder (h2)=h/2

Diameter of the cylinder (d2)= 2d

Radius of the cylinder (r2)= 2d/2=d=2r

Volume of the cylinder(V2)=π(2r)²(h/2)

=2πr²h =2V1

Therefore, the volume of the cylinder will change by the factor of 2.

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