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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<em>Given: </em>
<em>Which Cylinders have the same volume as the cylinder below? Cheok all that apply, height- 20m and base- 32m: </em>
<em>Answer choices: </em>
<em>picture 1: 40m and 16 </em>
<em>picture 2: 5m and 64</em>
<em>picture 3: 40m and 8 </em>
<em>picture 4: 32m and 20 </em>
<em>picture 5: 10m and 128</em>
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<em>Formula for Cylinders:</em>
<em>V=Bh or V=πr²h </em>
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<em>Diameter = Half of Radius {Divide by 2}</em>
<em>Original Cylinder:</em>
<em>20m and 32m</em>
<em>20/2 = 10</em>
<em>V=πr2h=π·102·32≈10053.09649</em>
<em>V ≈ 10053.1</em>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Picture 1: 40m and 16 </em>
<em>40/2 = 20</em>
<em>V=πr2h=π·202·16≈20106.19298</em>
<em>V ≈20106.19</em>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ </em>
<em>picture 2: 5m and 64</em>
<em>5/2 = 2.5</em>
<em>V=πr2h=π·2.52·64≈1256.63706</em>
<em>V ≈1256.64</em>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ </em>
<em>picture 3: 40m and 8 </em>
<em>40/2 = 20</em>
<em>V=πr2h=π·202·8≈10053.09649</em>
<em>V≈10053.1</em>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ </em>
<em>picture 4: 32m and 20 </em>
<em>32/2 = 16</em>
<em>V=πr2h=π·162·20≈16084.95439</em>
<em>V≈16084.95</em>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ </em>
<em>picture 5: 10m and 128</em>
<em>10/2 = 5</em>
<em>V=πr2h=π·52·128≈10053.09649</em>
<em>V≈10053.1</em>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ </em>
<em>After solving each answer choices the answers are:</em>
<em>picture 3: 40m and 8</em>
<em>picture 5: 10m and 128</em>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ </em>
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<u><em>Kavinsky</em></u>
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<em> </em>
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