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How many metallic circular discs with 1.5 cm base diameter and of height 0.2 cm can be formed after melting a right circular cylinder of height 10 cm and diameter 4.5 cm?

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450

980

answer is A.

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Detailed Solution

Given that the base diameter and height of the right circular cylinder is d=4.5 cm and h=10cm.
The radius of the right circular cylinder will be,

r = d 2 r = 4.5 2 r = 2.25 cm

The expression to obtain the volume of a circular disk shape geometry is,

V = π r 2 h .

Here, r is the radius of a disk.
So, the volume of the right circular cylinder is,

23 π r 3 = 13 π r 2 h 23 π 83 = 13 π 62 h h = 102436 h = 28.4 cm

The radius of the metallic circular disc will be,

r = d 2 r = 1.5 2 r = 0.75 cm

So, the volume of the metallic circular disc is,

V = π r 2 h .

The value of the number of metallic circular discs. We get,

n = V V' n = 159 0.353 n = 450

The number of metallic circular discs is 450.
Therefore, the correct option is 1.

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