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Approximate the adjust in the volume that a appropriate circular cylinder of fixed radius r=20cm...? 0 votes

when its elevation decreases native h=12cm come h=11.9cm (V(h)=(pi)r^2h)

The radius of the circular cylinder r = 20 cm

Initial elevation hi = 20 cm

Final elevation hf = 11.9 cm

The volume that the one cylinder V = π r² h

The adjust in volume ΔV = Vf - using = π r² hf - π r² hello - = π r² (hf - hi)

ΔV = π (20)² (11.9 - 20) = 400 π (- 0.1) = - 40π

(The negative sign suggests that diminish of volume due to decreasing of height)

Solution : The change in volume is - 40π

answeredNov 17, 2014by ShalomScholarthis isn"t useful though. You found the precise value, friend didn"t estimate utilizing calculuscommentedNov 30, 2015by anonymous

Find the complying with answer using concept of calculus.

You are watching: Approximate the change in the volume of a right circular cylinder of fixed radius

commentedNov 30, 2015by SammiMentor you re welcome log in or it is registered to include a comment. 0 votes

The solved radius the the ideal circular cylinder is .

The height decreases from come .

Therefore, . .

The volume of the right circular cylinder is .

Apply derivative on each side. .

Here and . Substitute .    .

Here negative sign shows decrease in volume.

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The change in volume is .