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How many cubic feet in a cylinder 3' x 10' feet long?
Formula: pi*r^2*h Assuming that the 3' is the diameter it would be pi*(3/2)^2 *10 = 70.68583 or 71 ft^3
How many feet r in 5 yards?
1 yard = 3 feet 5 x 3 = 15 feet
What is the volume of a sphere with diameter 9.4 feet?
Volume = 4/3*pi*r^3 r = 9.4/2 = 4.7 4/3*pi*(4.7)^3 435 cubic feet
How many different 3 digit combinations can there be if the digits are distinct?
With 3 digit numbers there are 10 digits (0, 1, ..., 9) from which to select 3 different digits. This can be done in: 10C3 = 10! / (10-3)!3! = 120 ways. For a set with n items, r of them can be selected (permuted) in: n x (n-1) x ... x (n - (r +1)) = n! / (n-r)! = nPr ways. However, if the order of selection does not matter (just the combination of the r items) then the selected items can be chosen in r x (r-1) x ... x 1 = r! ways. Meaning there are nPr / r! = nCr = n! / (n-r)!r! combinations possible.
What is the area of a circle if r equals 74 feet?
Area = pi*742 = 17203.361 square feet to 3 dp
