A cylindrical container of radius 23 cm. is filled with water 27 cm. high, when a sphere is placed into the container, it is just immersed in the water, what is the radius of the sphere?
Please show mathematically if this question has no solution, thanks.
- 1 十年前最愛解答
Let r (cm) be the radius of the sphere.
Volume of water=(pi)(23^2)(27)=14283 pi (cm^3)
Because the sphere is just immersed in the water,the height of water is 2r (cm).
(pi)(4/3)(r^3)+14283(pi) = (pi)(23^2)(2r)
4(r^3)－3174r + 42849 = 0
r = －33.38253764
∴There is no solution in this case .
- 自由自在Lv 71 十年前