Roland drives a mixer for a cement company. The mixer is a cylinder 10 feet long with a diameter of 9.5 feet. What is the volume of the mixer?
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To find the volume of the mixer, we can use the formula for the volume of a cylinder, which is given by:
V = π * r^2 * h
Where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cylinder, and h is the height of the cylinder.
In this case, we are given the length of the cylinder (10 feet) and the diameter (9.5 feet), which we can use to find the radius.
The radius (r) of a cylinder is equal to half of its diameter, so we can find it by dividing the diameter by 2:
r = 9.5 feet / 2 = 4.75 feet
Next, we can substitute the values of the radius (r) and the height (h) into the formula to find the volume of the mixer:
V = 3.14159 * (4.75 feet)^2 * 10 feet
Calculating this equation will give us the volume of the mixer.