Question

The volume of a cylinder is 48.125 cm?, which is formed by rolling a rectangular paper sheet along
the length of the paper whose length and breadth both have integral values. If a cuboidal box (without
any lid i.e., open at the top) is made from the same sheet of paper by cutting out the square of side
0.5 cm from each of the four corners of the paper sheet, then what is the volume of this box?
(1) 20 cm
(2) 38 cm
(3) 19 cm
(4) none of these​

Answer 1

Answer:

We do have a way for this question.Only way is to think out of the box. Let me tell you how it goes:

Volume of cylinder= (pi) (r)(r)(h)= 48.125

(r)(r)h = 15.3125

15.3125 is not a perfect square. To make it perfect square, h should be 5cm.

Now (r)(r)=15.3125/5 = 3.0625 which makes r = 1.75cm

Therefore, rectangular sheet has length of 2(pi)(r)=11cm and width (h) of 5cm.

After cutting a square of 0.5cm from each corner, the dimension of the cuboid becomes:

Length=11-1=10cm; Breadth=5-1=4cm; Height=0.5cm.

Therefore, Volume of cuboid= 10 x 4 x 0.5 = 20 cubic cm.

Thank you for reading it!

Have a nice day Reiny!

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Answer 2

Answer:

answer is 20 cm

Explanation:

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