Question

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.

Answer 1

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.

Answer 2

Answer:

Step-by-step explanation:

Solid rectangular lead piece = cuboidal lead peace

Here, dimensions are 66cm, 42cm and 21cm.

So, l = 66cm, b=42cm, h=21cm.

Diameter of spherical leads share = 4.2cm

Radius = 2.1 Cm.

So, volume of cuboidal lead piece = volume of spherical lead shots * n

( n = no. Of spherical leads)

L * b * h = 4/3*π*r³ * n

n = lbh / 4/3πr³

n = 66*42*21*3*7/4*22*2.1*2.1*2.1

n = 42*100*3/4*2.1

n = 500*3

n = 1500

So, there are total 1500 spherical lead shots obtained from a solid rectangular lead piece.

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