From the problem statement, we are given the base radius r = 6 cm, the height h = 7 cm, and we are instructed to use π = (22)/(7) for calculations.

Now, we substitute the identified values of r, h, and π into the volume formula. This sets up the calculation for the cone's volume.

First, we calculate the square of the radius: (6)² = 36. This simplifies the expression for further calculation.

Find the volume of a right circular cone with base radius 6 cm and height 7 cm. Use pi = 22/7.

Answer: The volume of the right circular cone is $264 \text{ cm}^3$ .

Step-by-step solution

Step 1: Recall the formula for the volume of a cone

To find the volume of a right circular cone, we use the standard formula where $V$ is the volume, $r$ is the base radius, and $h$ is the height of the cone.

Step 2: Identify given values

From the problem statement, we are given the base radius $r = 6 \text{ cm}$ , the height $h = 7 \text{ cm}$ , and we are instructed to use $\pi = \frac{22}{7}$ for calculations.

Step 3: Substitute the values into the formula

Now, we substitute the identified values of $r$ , $h$ , and $\pi$ into the volume formula. This sets up the calculation for the cone's volume.

Step 4: Calculate the square of the radius

First, we calculate the square of the radius: $(6)^2 = 36$ . This simplifies the expression for further calculation.

Step 5: Perform multiplication and simplification

Next, we multiply the terms. We can cancel out the $7$ in the numerator and denominator. Then, we can simplify the expression by dividing $36$ by $3$ .

Step 6: Complete the final multiplication

Finally, we multiply $22$ by $12$ to get the volume of the cone. The unit for volume is cubic centimeters, $\text{cm}^3$ .

More from this chapter

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