Find the volume of a cone with a height of 9cm and a base radius of 3cm.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.
Question
Find the volume of a cone with a height of 9cm and a base radius of 3cm.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.
Solution
The volume V of a cone can be found using the formula V = 1/3 * π * r² * h, where r is the radius of the base, h is the height, and π is a constant approximately equal to 3.14.
Step 1: Substitute the given values into the formula. V = 1/3 * π * r² * h V = 1/3 * 3.14 * (3cm)² * 9cm
Step 2: Square the radius. V = 1/3 * 3.14 * 9cm² * 9cm
Step 3: Multiply the values. V = 1/3 * 3.14 * 81cm³
Step 4: Multiply the remaining values. V = 85.32cm³
So, the volume of the cone is 85.32 cubic centimeters.
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