The ratio between the surface area of sphere and hemisphere is ……�

1.	The ratio between the surface area of sphere and hemisphere is ………… A) 3 : 1 B) 1 : 3 C) 4 : 3 D) 3 : 4
Answer» Correct option is: C) 4 : 3 Surface area of sphere = \(4 \pi r^2\) Surface area of hemisphere = \(3\pi r^2\) \(\therefore\) \(\frac {Surface \, area \, of\, sphere}{surface \, area \, of \, hemisphere}\) = \(\frac {4 \pi r^2}{3 \pi r^2} = \frac 43 = 4: 3\) Hence, the ratio between the surface area of sphere and hemisphere is 4 : 3. Correct option is: C) 4 : 3

The ratio between the surface area of sphere and hemisphere is ………… A) 3 : 1 B) 1 : 3 C) 4 : 3 D) 3 : 4

Answer»

Correct option is: C) 4 : 3

Surface area of sphere = \(4 \pi r^2\)

Surface area of hemisphere = \(3\pi r^2\)

\(\therefore\) \(\frac {Surface \, area \, of\, sphere}{surface \, area \, of \, hemisphere}\) = \(\frac {4 \pi r^2}{3 \pi r^2} = \frac 43 = 4: 3\)

Hence, the ratio between the surface area of sphere and hemisphere is 4 : 3.

Correct option is: C) 4 : 3