Question

What is the ratio of the diameter of the two spherical curves to 4:81?​

Answer 1

Answer:

• ratio of surface area of sphere

$\rightarrow \: \frac{4 \pi \: r²}{4 \pi \: r²} = \frac{4}{9}$

$\rightarrow \: \frac{(r1)}{(r2)} 2 = \frac{4}{9}$

$\rightarrow \frac{r¹ }{r^2 } = \frac{2}{3}$

• finding the Ratio of their volumes

$\rightarrow \: ( \frac{2}{3} )^3 = \frac{8}{27}$

$\rightarrow \boxed{8 : 27} \:$

=========================

Hence, Solved !