Math Expression: Volume of a Cone Practice Question

Given a cone with the height of 10cm and the base radius of 9cm. Find the volume of this cone. Take π as 3.14.

Step 1

The picture below shows the cone with the height of 10cm and base radius of 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 9, h with 10 and π with 3.14. After substituting these values, we can calculate for 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.