Find the volume of a right circular cone with base radius 6 cm and height 7 cm. Use pi = 22/7.
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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 cm, the height h=7 cm, and we are instructed to use π=722 for calculations.
Step 3: Substitute the values into the formula
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.
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, cm3.