Question

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

Answer 1

Answer:

Total Surface Area of Sphere : 4πr²   ------(i)

Total Surface Area of Hemisphere : 3πr²   ------(ii)

Divide (i) by (ii) ,

= T. S. A of Sphere / T.S.A of hemisphere

= 4πr²/ 3πr²

= 4/3

Answer 2

Question :

• Find the ratio of total surface area of a sphere and a hemisphere of same radius ?

Answer :

• $\implies\dfrac{4}{3}$

Solution :

Understanding the Concept !

We have to find the ratio between total surface area of sphere and hemisphere , if both having same radius. So, Let the radius of both be x. And then we will divide the total surface area of sphere and hemisphere. Then we will get our Answer.

Let solve,

$\red\bigstar\:\boxed{\sf T.S.A \: of \: Sphere = 4\pi r^2}$

$\red\bigstar\:\boxed{\sf T.S.A \: of \: hemisphere = 3\pi r^2}$

Dividing T.S.A of Sphere by T.S.A of hemisphere

$\implies \dfrac{4\pi r^2}{3\pi r^2} \\ \\ \implies \dfrac{4 \times \cancel{\pi }\times \cancel{r^2}}{3 \times \cancel{\pi }\times \cancel{r^2}} \\\\ \implies \boxed{\boxed{\pink{\sf \dfrac{4}{3}}}}$

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