the number of uniform spherical shot that can be made from a given mass of lead veries inversely as the cube of the radius of the shot required. When, the radius is 1mm the number of shot i s2744. How many shot of radius 1.4mm may be made from the given mass?

Question

anonymous · Answer

@camerondoherty, @Abhisar @amistre64

amistre64 · Answer

they give you all the information to form an inverse relationship with ... what part is tripping you up?

anonymous · Answer

I have done it but, not sure whether I am correct

amistre64 · Answer

show your work then and i can see if its good or not

amistre64 · Answer

... assuming the sites not breaking down yet :/

anonymous · Answer

Let “n” be the number of shots 
Let “r” be the radius of the shot

$$n=\frac{ k }{ r^3 }$$
$$2744 = \frac{ k }{ 1^3 }$$
$$k=2744$$
$$n=\frac{ 2744 }{ r^3 }$$
$$n=\frac{ 2744 }{ 1.4^3 }$$
$$Therefore, n =1000$$

amistre64 · Answer

your approach is fine

anonymous · Answer

ok...cheers for the help