The diagram represents the cross section of a solid in the form of a cone if height h, and a hemispherical bowl of radius r. The volume of the hemispherical portion is half that of the conical portion

Question

Calculate:
(a). The ration r : h
(b). The vertical angle of the cone correct to the nearest degree;
(c). The total volume, correct to three significant figures, of the solid given that r = 3.5cm
( Take π = 3.142)

Answer 1

I need the answer as quick as possible pls

Answer 2

hemisphere: v = 2/3 πr^3
cone: v = 1/3 πr^2 h
since we have
2/3 πr^3 = 1/2 (1/3 πr^2 h)
that means that
(a) r/h = 1/4
(b) tan(θ/2) = r/h
(c) plug in your numbers using the formulas shown above