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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?

Respuesta :

1.75 you just divide 42 with 24
SociometricStar

Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step 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

[tex]24k=21[/tex]

Solve for k

[tex]k=\frac{21}{24}\\\\k=\frac{7}{8}[/tex]

Therefore, radius of sphere A is multiplied by [tex]\frac{7}{8}[/tex] to produce the radius of sphere B.

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