Question

If ratio of volumes of two spheres is 1:8 Find the ratio of their surface area Answer with solution please ❤❤❤❤❤

Answer 1

Answer:

Ratio of surface area js 1:4

Step-by-step explanation:

Let as take r1 and r2 be the radius of two spheres respectively.

We know that Volume of a sphere =$\frac{4}{3} \pi r^2$

Given ratio of volumes of two spheres =1:8

$\frac{\frac{4}{3}\pi r_{1}^3}{\frac{4}{3}\pi r_{2}^3} =\frac{1}{8}\\\frac{r_{1}^3}{r_2^3}=\frac{1}{8}\\\frac{r_1}{r_2}=\frac{1}{2}$

r₁²:r₂²=1:(2)²=1:4

we know,Surface area of a sphere=4$\pi$r²

Ratio of surface area of spheres

                                                     $=\frac{4\pi r_1^2}{4\pi r_2^2} \\=\frac{r_1^2}{r_2^2}\\=\frac{1}{4}$

Answer 2

Answer:

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Step-by-step explanation:

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