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

Question

asked Mar 24, 2022 211k views

1 Answer

Tstanisl · Answer 1 · 2022-03-29T14:41:38+0000

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,

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

$= > {r}^(2) * 3.14 * 6 =130$

$= > {r}^(2) * 18.84 = 130$

$= > {r}^(2) = (130)/(18.84)$

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

=> r = 2.6267851073 = 2.63

As Diameter is twice of the radius then,

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