Question

A vessel is in the form of a hollow hemisphere bowl mounted by a hollow cylinder of same radius. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm

Answer 1

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Radius = 7 cm

Height of cylindrical portion = 13 - 7 = 6 cm

Curved surface area of cylindrical portion can be calculated as follows :

= 2πrh

= 2 × ²²⁄₇ × 7 × 6

= 264 cm²

Curved surface area of hemispherical portion can be calculated as follows :

= 2πr²

= 2 × ²²⁄₇ × 7 × 7

= 308 cm²

Total surface area = 308 + 264

∴ Total surface area = 572 sq.cm

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Answer 2

$\huge \mathfrak \pink{Answer}$

Radius = 7 cm

Height of cylindrical portion = 13 - 7 = 6 cm

Curved surface area of cylindrical portion can be calculated as follows :

= 2πrh

= 2 × ²²⁄₇ × 7 × 6

= 264 cm²

Curved surface area of hemispherical portion can be calculated as follows :

= 2πr²

= 2 × ²²⁄₇ × 7 × 7

= 308 cm²

Total surface area = 308 + 264

∴ Total surface area = 572 sq.cm

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