Question

3. Find the ratio of total surface area of a sphere and a hemisphere of same radius​

Answer 1

Answer:

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 4πr^2

Also,

The total surface area of hemisphere = 3\pi r^23πr^2

The total surface area of hemisphere

The total surface area of sphere

{4\pi r^2}{3\pi r^2}

3πr ^2

4πr ^2

3/4

= 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

Answer 2

Ratio=4pie r square:3 pie r square =4:3

The required ratio is 4:3

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