Math, asked by BrainlyHelper, 1 year ago

The volume of a hemi-sphere is 2425\frac{1}{2}cm^{3}. Find its curved surface area. (Use (\pi=\frac{22}{7}))

Answers

Answered by nikitasingh79
2

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

HOPE THIS ANSWER WILL HELP YOU….

Answered by purushottamkumar67
1

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