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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)

average-rate-of-changeaskedNov 15, 2014in PRECALCULUSby anonymous
please log in or register to include a comment. please log in or register to answer this question. 2 answer 0 votes

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

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The height decreases from

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Therefore,

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The readjust in elevation is

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The volume of the right circular cylinder is

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Apply derivative on each side.

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Here

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Substitute

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Here negative sign shows decrease in volume.

See more: Jimmy Jet And His Tv Set - Jimmy The Jet And His Tv Set

The change in volume is

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