Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter whole numbers in the answer blank). Numerical Answers Expected
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Expert's answer
2020-07-06T17:31:11-0400
Let’s imagine how a cone can be locatedto occupy the maximum volume. Their bases and heights must be equal.Let’s write the known volume formulasand calculate the answerVcylinder=S∗h⟹h=SVcylinderVcone=31∗S∗h=31∗S∗SVcylinderVcone=31∗S∗SVcylinder=31∗VcylinderVcone=31∗15=5
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