Math, asked by 01928373892, 8 months ago

Answer this question. Cylindrical cans of cricket ball are to be packed in a box. The radius and height of each can is 8cm and 32cm respectively. The length, breadth and height of box are respectively 68cm × 52cm × 50cm. What is the maximum number of cans that can fit in the box ?
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Answered by hukam0685
0

Answer:

Total number of cans =6+6= 12

Step-by-step explanation:

Cylindrical cans of cricket ball are to be packed in a box. The radius and height of each can is 8cm and 32cm respectively.

here r= 8 cm

h= 32 cm

As each cylindrical can has diameter 16 cm and they can kept in verticle position and they will occupy 32 cm height of the box.

Number of such cans placed in a row

 =  \frac{length}{diameter}  \\ \\   =  \frac{32}{16}  \\  \\  = 2 \\

Number of such rows

 =  \frac{width \: of \: box}{diameter \: of \: cans}  \\  \\  =  \frac{52}{16}  \\  \\  ≈3 \\  \\

So 2×3 = 6 verticle positions .

Now the height of the box is 50,out of which 32 cm is used,so some cans can pe but horizontally

remaining height left = 50-32=18 cm

18>16(Diameter of cans)

Number of cans in horizontal rows

 =  \frac{length \: of \: box}{length \: of \: cane}  \\  \\  =  \frac{68}{32}  \\  \\  ≈ 2 \\  \\

Number of such rows

 =  \frac{width \: of \: box}{diameter}  \\  \\  =  \frac{52}{16}  \\  \\  ≈ 3 \\  \\

cans horizontally placed= 3×2=6 cm

So,total number of cans =6+6= 12

Hope it helps you.

Answered by meshakil94
0

Answer:

Total number of cans that can be filled is 18.

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