The ratio of the total surface area of a sphere and a hemisphere of same radius is
A. 2 : 1
B. 3 : 2
C. 4 : 1
D. 4 : 3
Answers
Given : Radius of a sphere and a hemisphere is same .
Let the radius of a sphere and a hemisphere = r
Total surface area of a sphere = 4πr²
Total surface area of a hemisphere = 3πr²
Ratio of the total surface area of a sphere and a hemisphere = 4πr² : 3πr²
= 4 : 3
Hence, the ratio of the total surface area of a sphere and a hemisphere is 4 : 3.
Option (D) 4 : 3 is correct.
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Answer:
Step-by-step explanation:
Let the radius of a sphere and a hemisphere = r
Total surface area of a sphere = 4πr²
Total surface area of a hemisphere = 3πr²
Ratio of the total surface area of a sphere and a hemisphere = 4πr² : 3πr²
= 4 : 3