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A Spherical Glass Vessel Has a Cylindrical Neck that is 7 Cm Long and 4 Cm in Diameter. the Diameter of the Spherical Part is 21 Cm. Find the Quantity of Water the Vessel Can Hold. - Mathematics

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प्रश्न

A spherical glass vessel has a cylindrical neck that is 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water the vessel can hold.

योग
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उत्तर

Diameter of spherical part = 21 cm
Radius of the spherical part = 10.5 cm

`=4/3pir^3 = 4/3xx22/7xx10.5xx10.5xx10.5=4851  "cm"^3`

Diametere of cylinder = 4 cm

Radius of cylinder = 2 cm

Height of cylinder = 7 cm

Volume of the part of vessel `= pir^2h = 22/7xx2xx2xx7 = 88  "cm"^3`

Total volume of the vessel =4851 + 88 = 4939 cm

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अध्याय 19: Volume and Surface Area of Solids - Exercise 19A [पृष्ठ ८७६]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 19 Volume and Surface Area of Solids
Exercise 19A | Q 26 | पृष्ठ ८७६
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