Its a homework question thats extra hard
It's a Cylinder, V = A*h Let V be the volume A be the Area of the base h be the height of the cylinder V = π(d^2/4) * h V = π(12^2/4) * 22 Thus, V = 2488.14 cu. ft. ≈ 2490 cu. ft. (Ans.)
The volume of a cylinder is determined by the area of the base of the cylinder multiplied by the height of the cylinder. Because the base of a cylinder is a circle, to find its area, the formula is π(r)?. Multiply that by the height of the cylinder, and we have the formula: π(r)?(H) We then substitute the given values into the equation - Note: The diameter is 12ft, so the radius is half that, 6ft. π(6)?(22) = 36 * 22 * π = 792π ft = 2488.141ft So the answer is A.
Volume = Area * Height, for any prism including cylinders like this one. The end of the grain silo had a diameter, so it must be a circle. The area of a circle is pi * r^2, where r is the radius of the circle. The radius is half of the diameter, so it is 12/2 = 6ft. The area of the circle must be pi * (6ft)^2 = pi * 36 ft^2, which is approximately 113.097 ft^2. The volume is area * height, so we multiply the area by 22ft (which was the height of the silo). 113.097 ft^2 * 22 ft = 2488.14 ft^3 (approximately) In questions like this, they have worked on approximations backwards from the answer to form the question. Just pick the closest answer, A, 2490 ft^3.
Volume of Cylinder is Height * area of base , so 22*π*(12/2)^2
V=πr?h V=(6)?π(22) V=2490 ft?
