A vessel is in form of a hemispherical bow mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm . Find its capacity.
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its ans is 1642.6 cu cm.
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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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