Question

Sphere A has 4 times the surface area of sphere B. Find the number of times the volume
of the sphere is the volume of sphere B.
(a)4
b) 8
c)4π
d)8π​

Answer 1

Answer:

B is the answer to the question

Answer 2

Answer:

8

Step-by-step explanation:

Area of sphere =  4 π r²

Volume of sphere = $\frac{4}{3}$ π r³

r₁ = radius of A

r₂  = radius of B

∵ area ∝ r²

area (A ) = 4 * area (B)

r₁² = 4 r₂²

r₁ = 2 r₂

r₂ =  1/2 r₁

Now,

volume ∝ r³

r₁³ = r₂³

volume (A) = 8* volume(B)

So the answer will be 8 times