This exercise is asking us to find the volume of the table. Because we are told the tabletop is circular, we will need to find the volume of a cylinder. Let's first recall the formula for the volume of a cylinder with a circular base.
Volume= π r^2 h
We are told that the diameter is 6 feet and the depth, or height, is 6 inches. Let's start by finding the radius of the circle.
Radius= 1/2 * Diameter
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Radius= 1/2 * 6 feet= 3 feet
The radius of the circle is 3 feet. The radius and height must be in the same units before we substitute them into the volume of a circle. We are asked to put our answer in cubic feet, so we must convert the height from inches to feet. Converting between inches and feet will involve using a conversion factor.
1 foot/12 inches
Multiplying 6 inches by this conversion factor will convert it to feet.
We now have a radius of 3 feet and height of 0.5 feet. Finally, we can substitute these values into the formula for volume to find out how much concrete is needed.
