Question

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

Answer 1

Hello Akshete !

Answer:

4 : 3

Step-by-step explanation:

Given :

Sphere and Hemisphere have the same radius.

To Find :

Total surface area of a  Sphere : Total Surface Area of a Hemisphere

Formulae :

Total Surface Area (TSA) of a Hemisphere = 3πr²

TSA of a Sphere = 4πr²

Procedure :

TSA of a Sphere : TSA of a Hemisphere

⇒ 4πr² : 3πr²

⇒ 4 : 3

Extra Formulae :

Curved Surface Area (CSA) of a Hemisphere = 2πr²

CSA of a Sphere = TSA of a Sphere = 4πr²

Volume of a Sphere = (4/3)πr³

Volume of a Hemisphere = (1/2) × Volume of Sphere = (2/3)πr³

Thanks !