Premium Online Home Tutors
3 Tutor System
Starting just at 265/hour
Answer :
i) Surface area of sphere = \(4 {\pi} {r}^2\)
ii) Height of cylinder = r + r = 2r
Radius of cylinder = r
We know that,
CSA of cylinder
= \(2{\pi}rh\)
= \(2{\pi}r(2h)\)
= \(4{\pi} {r}^2\)
iii) ratio of the areas obtained
= \(\frac{Surface area of sphere}{CSA of cylinder}\)
= \(\frac{4 {\pi} {r}^2}{4 {\pi} {r}^2}\)
= \(\frac{1}{1}\)
Therefore, the ratio between these two surface areas is 1:1.