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