The diameter of a sphere is twice the diameter of another sphere, The surface area ofthefirst sphere is equal to the volume of the second sphere, The magnitude of the radius ofthefirst sphereis
let radius of sphere 1 = r1
radius of sphere 2 = r2
Given, r1 = 2 r2
surface area of sphere 1 = volume of sphere 2
$$4 \pi (r1)^2 = \frac{4}{3} \pi (r2)^3$$
r1 = 2 r2
$$4 \pi (2r2)^2 = \frac{4}{3} \pi (r2)^3$$
$$ 4 = \frac{1}{3} (r2)$$
r2 = 12
r1 = 2 r2 = 2$$\times$$12 = 24
Create a FREE account and get:
