A silo is a composite shape of a cylinder and a pyramid. If the silo is filled completely, what is its total storage capacity if the height is 60 feet and the cone-shaped portion has a height and radius of 15 feet? (Note: The height of the silo is 60 feet which is the combined height of the pyramid and the cylinder.)How do I do this problem?
Is the pyramid three sided or four sided? Or is it a cone? This problem isn't written very well. At least we can do part of it. If the total height is 60 feet, and the top is 15 feet, the cylinder is 45 feet with a 15 foot radius. Volume of a cylinder is Height x pi x R^2
The first thing I would do is figure out how high the cylinder is. We know the cone is 15 feet and the combined height is 60 feet, therefore the cylinder if 45 feet. we also know that the radius is 15 feet, therefore to figure the volume of the cylinder, we combine the area of the circle TIMES the hieght using pi = 3.14 pi*height^2 = area of circle area of circle*height = volume of cylinder 3.14*15^2 = 3.14 * 225 = 706.5 Sq Feet 706.5 Sq feet * 45 Square feet = 31,792.5 Cubic Feet (or pi * 10125 sq feet) The volume of the cone is figured the same way, with one added step. but we'll get to that last. From the question we know the radius is again 15 feet, and the height is 15 feet. The radius is the same as the radius of the cylinder, so we know the radius is 706.5 square feet. we multiply this by the height (15 feet) then since it is a cone, we divide by 3 Cone = 1/3 height * radius cone = 15 feet/3 * 706.5 sq feet cone = 5 * 706.5 sq feet cone = 2119.5 cubic feet the combined volume of both is Volume of cylinder (31,792.5 Cubic feet) + Volume of cone (2119.5 Cubic feet) = 33,912 cubic feet
