Question

If the total surface area of a solid hemisphere is 462cm ² , find its volume.(Take $(\pi=\frac{22}{7})$)

Answer 1

Answer:

The volume of the solid hemisphere is 718 ⅔ cm³.

Step-by-step explanation:

Given :  

Total surface area of a solid hemisphere = 462 cm²  

Total surface area of a solid hemisphere = 3πr²

462 = 3πr²

462 = 3 × 22/7 × r²

r² = ( 462 × 7 )/( 3 × 22)

r² = (21 × 7) / 3 = 7 × 7  

r² = 7 × 7

r = √7 × 7

r = 7 cm  

Radius of a solid hemisphere = 7 cm

Volume of hemisphere, V = 2/3πr³

V = ⅔ × 22/7 × 7³

V = ⅔ × 22/7 × 7 × 7 × 7

V = ⅔ × 22× 7 × 7  

V = 2156/3  

V = 718 ⅔ cm³

Hence,  the volume of the solid hemisphere is 718 ⅔ cm³.

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Answer 2

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