PLEASE HELP!!! FOR 60 POINTS!! New York City has two airports (JFK and LGA). If you’re flying with United Airlines (UA) and your
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The goal to proving identities is to transform one side into the other. We can only pick one side to transform while the other side stays the same the entire time. The general rule of thumb is to transform the more complicated side (though there may be exceptions to this guideline).
So I'll take the left hand side and try to turn it into
One way we can do that is through the following steps:
Since we've shown that the left hand side transforms into the right hand side, this verifies the equation is an identity.
Answer: Option C.
Step-by-step explanation:
Use the formula for calculate the volume of a cone:
Where r is the radius and h is the height.
Volume of the cone A:
Volume of the cone B:
If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:
Then:
Divide by
:
Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.