The volume of a solid hemisphere is 718 ⅔ cm³. Find its total surface area. [use π =22/ 7]
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Answered by
3
Given:
Volume of a solid hemisphere = 718 ⅔ cm³ = 2156/3
2/3πr³= 2156/3
2 (22/7) × r³ = 2156
44 r³ = 2156×7
r³= (2156×7)/44
r³= (196 ×7 ) / 4 = 49 ×7=
r = ³√ 7×7× 7
r= 7
Total surface area of hemisphere = 3πr²
Total surface area of hemisphere =3× (22/7) × 7²
= 3× (22/7) × 7× 7= 3×22× 7= 21× 22= 462 cm²
Total surface area of hemisphere =462 cm²
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Hope this will help you.....
Volume of a solid hemisphere = 718 ⅔ cm³ = 2156/3
2/3πr³= 2156/3
2 (22/7) × r³ = 2156
44 r³ = 2156×7
r³= (2156×7)/44
r³= (196 ×7 ) / 4 = 49 ×7=
r = ³√ 7×7× 7
r= 7
Total surface area of hemisphere = 3πr²
Total surface area of hemisphere =3× (22/7) × 7²
= 3× (22/7) × 7× 7= 3×22× 7= 21× 22= 462 cm²
Total surface area of hemisphere =462 cm²
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Hope this will help you.....
Answered by
0
Hi friend,
Your answer:
Volume of a solid hemisphere = 718 ⅔ cm³
=> 2/3πr³= 2156/3
=> 2 (22/7) × r³ = 2156
=> 44 r³ = 2156×7
r³= (2156×7)/44
r³= (196 ×7 ) / 4
r³ = 49 ×7
r = ³√ (7×7× 7)
r= 7
Now,
Total surface area of hemisphere = 3πr²
=3× (22/7) × 7²
= 3× (22/7) × 7× 7
= 3×22× 7
= 21× 22
= 462 cm²
Hence, the total surface area of the hemisphere =462 cm²
Your answer:
Volume of a solid hemisphere = 718 ⅔ cm³
=> 2/3πr³= 2156/3
=> 2 (22/7) × r³ = 2156
=> 44 r³ = 2156×7
r³= (2156×7)/44
r³= (196 ×7 ) / 4
r³ = 49 ×7
r = ³√ (7×7× 7)
r= 7
Now,
Total surface area of hemisphere = 3πr²
=3× (22/7) × 7²
= 3× (22/7) × 7× 7
= 3×22× 7
= 21× 22
= 462 cm²
Hence, the total surface area of the hemisphere =462 cm²
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