The surface area of a solid hemisphere is 432πcm3 . calculate it's radius.
Answers
Answer:
The answer is 12 cm
Step-by-step explanation:
Surface area of solid hemisphere=3πr^2
Given surface area= 432πcm^2
3πr^2=432π
r^2=432π/3π
r^2=144
r=12cm
Correct Question:
The surface area of a solid hemisphere is 432 π cm². Calculate it's radius.
Answer:
The radius of a solid hemisphere = 12 cm
Step-by-step explanation:
Given:
- Surface area of a solid hemisphere = 432πcm².
To find:
- The radius of a solid hemisphere.
Solution:
As we are already provided with the surface area of hemisphere, so here, we simply use formula of surface area of a hemisphere to find out the radius of a solid hemisphere. Putting the values in the formula and then doing the required calculations, we can easily calculate the radius of a solid hemisphere.
Let's find out...
✰ Surface area of hemisphere = 3πr²
Where,
r is the radius of a hemisphere.
Putting the values in the formula, we have:
- 432 π = 3πr²
π gets cancel on both the sides, we get:
- 432 = 3 × r²
- r² = 432/3
- r² = 144
- r = √144
- r = 12 cm
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