Given a cone with the volume of 56.52in3 and height of 6in. Find the base radius of this cone. Take π as 3.14.
The picture below shows the cone with the height of 6in and radius r.
Since the value of the volume, V and π and height, h are given, we can substitute them into the volume of a cone formula as shown:
Now, we have 6.28r2 = 56.52. To get a step closer in finding r, we need to remove 6.28 by dividing both sides of the equation with 6.28. This is shown below:
Now, we have r2 = 9. Since r square is a multiplication of r two times, we can find r by taking the square root of 9. This is shown below:
Now, the calculated number 3, has no meaning until we include the unit for it. Since volume in unit inch3, r will be in inch. Hence:
Therefore, the answer is B.
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