Question

find the no of spherical shots each of diameter 4.2cm which are obtained from a rectangular solid lead with dimensions 66cm,42cm,21cm?​

Answer 1

ANSWER:-

Let the number of lead shots be x

Volume of lead in the rectangular solid

=(66×42×21)cm^3

Radius of a lead shot = 4.2/2cm

=2.1cm

Volume of a spherical lead shot

= 4/3 × π×(2.1) ^3 cm^3

Volume of x spherical lead shots

= 4/3 × π×(2.1) ^3 cm^3

Volume of x spherical lead shots

=(4/3 × 22/7×( 2.1 )^3 ×x) c.m ^3

Volume of x spherical shots = Volume of lead in rectangular solid

( 4/3 × 22/7 ×(2.1) ^3 ×x)=66×42×21

⇒x= 66×42×21×3×7/4×22×(2.1) ^3

⇒x=1500

∴ Number of lead shots=1500

EXTRA INFORMATION:-

• We know that each lead shot is in the shape of a sphere. The volume of a sphere is given by the formula 43πr3, where r is the radius of the sphere. Now, we will find the number of lead shots that can be made using the cuboid. The volume of lead in the cuboid is used to make the lead shots.