Question

Which oylinders have the same volume as the cylinder below? Cheok all that apply, height- 20m and base- 32m:

Answer 1

Answer:

Picture 3: A cylinder with height of 8 meters and diameter of 40 meters.

Picture 5: A cylinder with height of 128 meters and diameter of 10 meters.

Step-by-step explanation:

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Given:

Which Cylinders have the same volume as the cylinder below? Cheok all that apply, height- 20m and base- 32m:

Answer choices:    

picture 1: 40m  and 16

picture 2: 5m  and 64

picture 3: 40m and 8

picture 4: 32m and 20

picture 5: 10m and 128

Formula for Cylinders:

V=Bh or V=πr²h

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Diameter = Half of Radius {Divide by 2}

Original Cylinder:

20m and 32m

20/2 = 10

V=πr2h=π·102·32≈10053.09649

V ≈ 10053.1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Picture 1: 40m  and 16

40/2 = 20

V=πr2h=π·202·16≈20106.19298

V ≈20106.19

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picture 2: 5m  and 64

5/2 = 2.5

V=πr2h=π·2.52·64≈1256.63706

V ≈1256.64

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picture 3: 40m and 8

40/2 = 20

V=πr2h=π·202·8≈10053.09649

V≈10053.1

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picture 4: 32m and 20

32/2 = 16

V=πr2h=π·162·20≈16084.95439

V≈16084.95

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picture 5: 10m and 128

10/2 = 5

V=πr2h=π·52·128≈10053.09649

V≈10053.1

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After solving each answer choices the answers are:

picture 3: 40m  and 8

picture 5: 10m and 128

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Kavinsky