Question

find the ratio of total surface area of sphere and hemisphere of same radius???​

Answer 1

Answer:

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Answer 2

The ratio of total surface area of sphere and hemisphere is equal to 4 : 3.

Step-by-step explanation:

Let the radius of sphere = The radius of hemisphere = r

To find, the ratio of total surface area of sphere and hemisphere = ?

We know that,

The total surface area of sphere = $4\pi r^2$

Also,

The total surface area of hemisphere = $3\pi r^2$

∴ $\dfrac{ The total surface area of sphere}{The total surface area of hemisphere}$ = $\dfrac{4\pi r^2}{3\pi r^2}$

= $\dfrac{4}{3}$

= 4 : 3

∴ The ratio of total surface area of sphere and hemisphere = 4 : 3

Thus, the ratio of total surface area of sphere and hemisphere is equal to 4 : 3.