The foundation for a cylindrical water tank is a cylinder 27 ft in diameter and 3 ft high. How many
cubic ft of concrete are needed to build the foundation?
for this problem I came up with 1716.8.
3.14*13.5*13.5*3= 1716.795 or 1716.8
Can someone let me know if this answer is correct?
correct
To find the volume of the cylindrical foundation, you need to use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, π is approximately 3.14, r is the radius of the base, and h is the height of the cylinder.
In this case, the diameter of the cylinder is given as 27 ft, so the radius (r) would be half of that, which is 13.5 ft.
Substituting these values into the formula, you get V = 3.14 * (13.5 ft)^2 * 3 ft.
Calculating this expression:
V = 3.14 * 182.25 ft^2 * 3 ft
V = 3.14 * 547.5 ft^3
V ≈ 1716.795 ft^3
So your calculation of 1716.8 cubic ft is correct.