How many spherical lead shots each of diameter 4.2

Asked by admin @ 20/08/2021 in Math viewed by 323 People

How many spherical lead shots each 4.2 cm diameter can be obtained from a solid cuboid of lead with dimensions 66 cm, 42 cm and 21 cm.

Answered by admin @ 20/08/2021

Answer:

Step-by-step explanation:

Given,

Sphere,

Radius,r=2.1cm

Dimensions of Cuboid= (66×42×21)cm

Let n be number of lead shots

n × Volume of Sphere=Volume of Cuboid

n×4/3×π×r^3=l×b×h

Substitute the values given above

n×4/3×22/7×2.1×2.1×2.1=66×42×21

n×4/3×1/7×2.1×2.1×2.1=3×42×21

n×4/3×1/7×0.7×0.1×0.1=1×2×1

n×2/3×1/7×7/10×1/10×1/10=1

n×1/3×1×1/5×1/10×1/10=1

n=3×5×10×10

=150

Therefore 150 number of spherical lead shots can be obtained from the solid rectangular lead piece.

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