Question

5. How many spherical bullets can be made out of a solid cube of lead whose edge
measures 44 cm and each bullet being 8 cm in diameters?​

Answer 1

Answer:

Step-by-step explanation:

Let the total number of bullets be x

Radius of a spherical bullet=

2

4

​

cm=2cm

Volume of a spherical bullet =

3

4

​

π×(2)

3

cm

3

=(

3

4

​

×

7

22

​

×8)cm

3

Volume of x spherical bullets =(

3

4

​

×

7

22

​

×8×x)cm

3

Volume of solid cube = (44)

3

cm

3

Clearly, volume of x spherical bullets = Volume of cube

⇒

3

4

​

×

7

22

​

×8×x=(44)

3

⇒

3

4

​

×

7

22

​

×8×x=44×44×44

⇒x=

4×22×8

44×44×44×3×7

​

=2541

∴ Total number of bullets=2541