A hemispherical bowl is made up of steel 0.25 cm thick. the inside radius of the bowl is 5cm. find the volume of steel used in making the bowl
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41.276(approx.)cm^3
the thickness + inner radius gives the outer radius .
so if we subtract the outer volume from inner volume we get the volume of the bowl
the thickness + inner radius gives the outer radius .
so if we subtract the outer volume from inner volume we get the volume of the bowl
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ans is 41.28
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Given:-
- A hemispherical bowl is made of steel 0.25 cm thick. The inside radius of the bowl is 5 cm.
To find:-
- Find the volume of steel used in making the bowl.
Solutions:-
- Inner radius of the bowl (r) = 5cm.
- Thickness of the iron sheet = 0.25cm.
So,
The outer radius of the tank (R) = Inner radius + thickness of the sheet
=> 5 + 0.25
=> 5.25
Now,
The volume of a hemispherical shell.
Volume of a hemispherical shell => 2/3 π(R³ - r³)
=> 2/3 × 22/7 × [(5.25)² - (5)²]
=> 2 × 22 × [144.70 - 125]/21
=> 44 × 19.7 /32
=> 41.28cm³
Hence, the volume of the iron used take the tank is 41.28cm³.
Some Important:-
- The surface area of a sphere = 4πr²
- The curved surface area of hemisphere = 2πr²
- The total surface area of hemisphere = 3πr²
- The volume of the sphere = 4/3 πr²
- The volume of the hemisphere = 2/3 πr²
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