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

The correct answer is:

B. $\frac{7}{8}$

The radius of sphere A is multiplied by $\frac{7}{8}$ to produce the radius of sphere B.

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Answer 2

Ok, so we know that the radius of Sphere A is 24 cm, and we know that the diameter of Sphere B is 42 cm. To find the radius of Sphere B, all we need to do is divide the diameter by two. The radius of Sphere B is 21 cm. 24 times what factor is 21? Well, $24* \frac{21}{24}$ is equal to 21. All we need to do now is simplify it. Divide the numerator and denominator by 3, and we get $\frac{7}{8}$