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?
4/7
7/8
8/7
7/4

Answer 1

Answer:

7/8

Step-by-step explanation:

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters.

WE need find which factor is multiplied with radius of sphere A to produce the radius of sphere B

Diameter of sphere B is 42

Radius = diameter /2

Radius = 42/2= 21

Radius of sphere B = 21

RAdius of sphere A times x= radius of sphere B

24 * x= 21

Divide by 24 on both sides

x= 21/ 24

divide top and bottom by 3

x= 7/ 8

Answer 2

Answer: The factor is 7/8

Step-by-step explanation:

Ok, we know that Sphere A as a radius of 24 cm, and sphere B has a diameter of 42 cm.

We want to find the factor which multiplied by the radius of sphere A gives us the radius of sphere B.

First, let's find the radius of sphere B.

We know that Diameter = 2*Radius.

So the radius of sphere B is equal to the diamater divided by 2.

rB = 42cm/2 = 21cm

now, let's find the number x that:

24cm*x = 21cm

x= 21cm/24cm = 21/24  

now, we can divide numerator and denominator by the same number, in this case 3, and get:

x = 21/24 = (21/3)/(24/3) = 7/8

x = 7/8

So the factor is x= 7/8, the second option.