The volume of a hemi-sphere is . Find its curved surface area. (Use )
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Answer:
The curved surface area of the hemisphere is 693 cm².
Step-by-step explanation:
Given :
Let ‘r’ cm be the radius of the hemisphere.
Volume of the hemisphere = 2425 ½ = 4851/2 cm³
⅔ πr³ = 4851/2
⅔ × 22/7 × r³ = 4851/2
r³ = (4851 × 3 × 7 ) / (2 × 22 × 2)
r³ = (441 × 21)/(2× 2 × 2)
r³ = (21 × 21 × 21)/(2× 2 × 2)
r³ = (21/2)³
r = 21/2
r = 10.5 cm
Curved surface area of the hemisphere = 2πr²
= 2 × 22/7 × 10.5² = 2 × 22/7 × 10.5 × 10.5
= 44 × 1.5 × 10.5
= 693 cm²
Hence, the curved surface area of the hemisphere is 693 cm²
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