25 glasses will fit the tray
Step-by-step explanation:
Given
Radius of circular base of glass = r = 3.5 cm
Length of tray = l = 40 cm
Width = w = 25 cm
First of all we will find the area of circular base
So,
[tex]A = \pi r^2\\= 3.14 * (3.5)^2\\= 3.14*12.25\\=38.465\\=38.5\ cm^2[/tex]
Now
Area of tray:
[tex]A_t = l * w\\= 40 * 25\\= 1000 cm^2[/tex]
Now we will find how many circular bases(glasses) can be put into the area of rectangular tray.
So,
[tex]No.\ of\ glasses = \frac{Area\ of\ tray}{Area\ of\ glass's\ circular\ base}\\=\frac{1000}{38.5}\\=25.97\ glasses[/tex]
As the number of glasses cannot be in decimal and rounding off to next number will make the glasses go out of the area of tray we will round off to previous number.
Hence,
25 glasses will fit the tray
Keywords: Area, rectangle
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