Answer:
[tex]\approx \bold{44\ or\ 45}[/tex]
Step-by-step explanation:
Given
Diameter of spherical metal ball = 400 mm = 40 cm
Radius of spherical metal ball = 20 cm
Volume of a sphere is given as:
[tex]V_{Sphere} = \dfrac{4}{3}\pi r^3[/tex]
[tex]\Rightarrow \dfrac{4}3 \times 3.14 \times 20 ^3 = 33493.33 \ cm^3[/tex]
Dimensions of metal doorstops = 15 cm by 10 cm by 5 cm
It is of cuboid shape.
Volume of a cuboid is given as:
[tex]V_{Cuboid} = l \times b\times h = 15 \times 10 \times 5 = 750\ cm^3[/tex]
Number of such doorsteps that can be made from the metal ball is equal to Volume of metal ball divided by volume of metal doorstep.
[tex]\dfrac{33493.33}{750} \approx \bold{44\ or\ 45}[/tex]
