Question

the ratio of surface areas of two spheres is 1:4,find the ratio between their radius . if radius of the first sphere is 1÷√2 then find the radius of the other sphere

Answer 1

Answer:

1:2,

√2.

Please check the attached image for

Step-by-step explanation:

Answer 2

Answer:

r₁ : r₂ = 1 : 2

r₂ = √2

Step-by-step explanation:

The surface area of sphere = 4 π r²

According to the question ,

$\frac{(4\pi r^{2} )_{1} }{(4\pi r^{2})_{2} }$ =  $\frac{1}{4}$ = $\frac{r_{1} ^{2} }{r_{2}^{2} }$  = $\frac{1}{2}$

∴ r₁ : r₂ = 1 : 2

Here the radius of first sphere is given( r₁) = $\frac{1}{\sqrt{2} }$

⇒  $\frac{r_{1} }{r_{2} } = \frac{1}{2}$

⇒ r₂ = 2 r₁

⇒ r₂ =$2 * \frac{1}{\sqrt{2} }$ =  √2