Solids of revolution and the contents of a glass?

For depth h ,
V
= ∫ π*(√x)^2 dx , from x = 0 to x = h
= π * ∫ x dx
= π * [ (1/2)x^2 ] , from x = 0 to x = h
= π * [ (1/2)h^2 ]
= (1/2)π*h^2

(1)
when h = 10 ,
V = (1/2)π*10^2 = 50π ≒ 157
Ans: 50π ml
( ≒ 157 ml )

(2)
V = (1/2)π*h^2 = 100
h^2 = 200/π
h = √(200/π) ≒ 8
Ans: √(200/π) cm
( ≒ 8 cm )