How many spherical bullets can be made out of a solid cube of lead whose edge measures 44cm, each bullet being 4 cm in diameter.

# How many spherical bullets can be made out of a solid cube of lead whose edge measures 44cm, each bullet being 4 cm in diameter.

1. A
2541
2. B
3521
3. C
2154
4. D
1545

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Let the number of spherical projectiles that can be made from a 44 cm cube of lead be n.
Now we find the value of the volume of spherical bullets with a diameter of 4 cm and a radius of 2 cm.
Volume of spherical bullets
Volume of spherical bullets =

So to calculate the volume of n number of spherical bullets of radius    we will multiply it with n.
Volume of number of spherical bullets
Now, calculate the value of volume of cube of sides

Now, equating equation (1) with equation (2) we get;

Now, dividing 85184 by 33.52 we get;

So the required number of spherical bullets that can be made out of a cube of metal is 2541.
So, the correct answer is Option 1.

## Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formula Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)