Question

The Ratio of the Surface Area in square meters to volume cubic meters is 1:5. Find the radius of the sphere.

Answer 1

\(Area=4 \pi r^2, Volume=\frac{4}{3} \pi r^3\)
you are given the ratio of s.a : v = 1:5
solve:
\(1:5 = S.A : V\\1:5=4 \pi r^2:\frac{4}{3} \pi r^3\\5(4 \pi r^2)=\frac{4}{3} \pi r^3\\20 \pi r^2=\frac{4}{3} \pi r^3\\60\pi r^2=4\pi r^3\)
divide both sides by \(\pi r^2\)
\(60=4r\)
divide both sides by 4 and you'll get it..

Answer 2

Refer to the attachement.

Answer 3

thanks