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: 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.
