Question

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by what factor to produce the radius of sphere B?

Answer 1

1.75 you just divide 42 with 24

Answer 2

`(7)/(8)`

Explanation:

We have been given that

Radius of A = 24 cm

And Diameter of sphere B = 42 cm.

We know that radius is half of the diameter.

Hence, radius of sphere B = 42/2 =21 cm

Let the radius of sphere A is multiplied by 'k' to produce the radius of sphere B.

Thus, we have

`24k=21`

Solve for k

`k=(21)/(24)\\\\k=(7)/(8)`

Therefore, radius of sphere A is multiplied by
`(7)/(8)` to produce the radius of sphere B.