Question

How many shots each having radius 3 cm can be made from a cubical lead solid of dimensions 49 cm x 36 cm x 22 cm?

Answer 1

Hi ,

Dimensions of the a cubical

lead solid

Length = l = 49cm

Breadth = b = 36 cm

Height = h cm

Let the radius of the each lead shot ( r )= 3 cm

Number of lead shots = n

According to the problem given ,

n × Volume of the each lead shot =

volume of the cubical

n = volume of the cubical / volume of each lead shot

n = ( l × b × h ) / ( 4/ 3 × pi × r ^3 )

[ pi = 22 / 7 ]

n = (49 × 36 × 22 × 3 × 7 ) / ( 4 × 22 × 3 × 3 × 3 )

After cancellation

n = 49 × 7

n = 316

Therefore ,

316 lead shots made from the cubical lead solid .

I hope this helps you.

:)