A cone has a diameter of 6 centimeters and a volume of 56.52 cubic centimeters. Find the height.
Volume of a cone
V = (1/3)πr²h If the diameter is 6, the radius is 3. 56.25 = (1/3)(3²)h {substituted into volume formula} 56.25 = (1/3)(9)h {evaluated the exponent} 56.25 = 3h {multiplied 1/3 by 9} h = 18.75 {divided each side by 3} The height of the cone is 18.75 cm. Ask Algebra House
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