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Maths / Surface Area and Volume / Lateral Surface Area of Hemisphere
QUESTION
 

Radii of two solid hemispheres are in the ratio 3:5. Find the ratio of their lateral surface areas.

OPTIONS
A. 

25:9

B. 

9:25

C. 

9:16

D. 

25:49

Right Option : B
EXPLANATION
Explain TypeExplanation Content
Text

Let r1 and r2 are the radii of two hemispheres:

r1 : r2 = 3:5

large frac{r1}{r2}=frac{3}{5}

large {r1}=frac{3}{5}times r2

Lateral surface area of hemisphere =  large 2pi r^2

Ratio of LSA of two hemisphere

large 2pi (r1)^2=2pi (r2)^2

large 2pi (frac{3}{5}r2)^2=2pi (r2)^2

large (frac{3}{5}r2)^2=(r2)^2

9 : 25

Ratio of LSA is 9 : 25

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