Question

a cylindrical glass holds 130 cubic centimeters of water and has a height of 6cm, what is the diameter of the class?

Answer 1

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,

$= > \pi {r}^{2} h = 130$

$= > {r}^{2} \times 3.14 \times 6 =130$

$= > {r}^{2} \times 18.84 = 130$

$= > {r}^{2} = \frac{130}{18.84}$

$= > {r}^{2} = 6.9 \: (approx)$

=> r = 2.6267851073 = 2.63

As Diameter is twice of the radius then,

Diameter of the cylindrical glass = 2.63 × 2 = 5.26 (Ans)