Question 2

Given a cone with a volume of 56.52in^{3 }and
height 7in.
Find the base radius of the cone. Take **π** as 3.14.

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Check Answer

Step 1

The picture below shows the cone with height 7in and radius **r**.

Step 2

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:

Step 3

Now, we have **6.28****r**^{2} = 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:

Step 4

Now, we have **r**^{2} = 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:

Step 5

Now, the calculated number 3, has no meaning until we include the unit for it. Since volume in unit inch^{3}, **r** will be in inch. Hence:

r= 3 in

Step 6

Therefore, the answer is D.

To close the steps,
volume of a cone practice page