Question

How many lead shots,each of radius 1.5mm can be obtained from a cuboid with dimensions 12cm,11cm,9cm

Answer 1

Answer:

The number of lead shots obtained from the cuboids are 84076 .

Step-by-step explanation:

Formula

$Volume\ of\ the\ sphere = \frac{4}{3} \pi r^{3}$

Where r is the radius of the sphere .

Volume of a cuboid = Length × Breadth × Height

As given

lead shots,each of radius 1.5 mm .

As

1 mm = 0.1 cm

1.5 mm is convert into cm .

1.5 mm = 1.5 × 0.1

$1.5\ mm = \frac{15}{100}\ cm$

                    = 0.15 cm

Thus

$Volume\ of\ the\ sphere = \frac{4}{3}\times 3.14\times 0.15\times 0.15\times 0.15$

$Volume\ of\ the\ sphere = \frac{4\times 3.14\times 0.15\times 0.15\times 0.15}{3}$

$Volume\ of\ the\ sphere = \frac{0.04239}{3}$

                                               = 0.01413 cm³

Volume of the cuboid = 12 × 11 × 9

                                     = 1188 cm³

Let us assume that the number of lead shots obtained from a cuboid be x .

Equations becomes

0.01413 × x = 1188

0.01413x = 1188

$x = \frac{1188}{0.01413}$

x = 84076 (Approx)

Therefore the number of lead shots obtained from the cuboids are 84076 .

Answer 2

Answer:

Step-by-step explanation:

1.5 mm is convert into cm . Let us assume that the number of lead shots obtained from a cuboid be x . Therefore the number of lead shots obtained from the cuboids are 84076