Step 1

The picture below shows the cone with the height 10cm and with the base radius 9cm.

Step 2

To calculate the volume, we start with the formula for the volume of a cone. Note that h is the height and r is the base radius of the cone.

Step 3

Since the values for r, h, and  π are given, we can substitute r with 5, h with 10 and π with 3.14. After substituting these values, we can calculate V as shown below:

Step 4

Now, the calculated number 847.8 only has a meaning if we include the unit for it. Since the given units are in cm, the unit for volume will be cm³. Hence:

V = 847.8 cm³

Step 5

Clearly, the answer is D.

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