Step-by-step explanation:
Given,
Cubic centimetres of water a glass can hold = 130 cubic cm
Also amount of water filled is equal to the volume of the glass.
Height of the glass = 6cm
Therefore, by the problem,
[tex] = > \pi {r}^{2} h = 130[/tex]
[tex] = > {r}^{2} \times 3.14 \times 6 =130[/tex]
[tex] = > {r}^{2} \times 18.84 = 130[/tex]
[tex] = > {r}^{2} = \frac{130}{18.84} [/tex]
[tex] = > {r}^{2} = 6.9 \: (approx)[/tex]
=> r = 2.6267851073 = 2.63
As Diameter is twice of the radius then,
Diameter of the cylindrical glass = 2.63 × 2 = 5.26 (Ans)
