Question

if the surface area of the hemisphere is 'S' , then express r in the term of S

Answer 1

Surface Area = SA 
Volume = V 

SA = 4π r² 
r² = SA / 4π 

V = 4/3 π r³ 
r³ = V / (4/3 π) 
r³ = V / (4π / 3) 
r³ = V(3/4 π) 
r³ = 3V / 4π 
r² = (3V / 4π) / r 
r² = 3V / 4π r 
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Answer 2

Answer:

 r in the term of S is $\sqrt{\frac{S}{\pi}}=r$

Step-by-step explanation:

Let the radius of hemisphere be r

Surface area of sphere =$2 \pi r^2$

Let S denote the surface area

So,$S=2 \pi r^2$

$\sqrt{\frac{S}{\pi}}=r$

Hence  r in the term of S is $\sqrt{\frac{S}{\pi}}=r$