Volume calculation

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.

2 個解答

• 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 .

• 1 十年前

此題解法是有但提供數字郤是無解