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The internal and external diameters of a hollow hemi-spherical vessel are 21 cm and 28 cm respectively. Find volume of material of the vessel. - Mathematics

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प्रश्न

The internal and external diameters of a hollow hemi-spherical vessel are 21 cm and 28 cm respectively. Find volume of material of the vessel.

योग
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उत्तर

External radius (R) = 14 cm

Internal radius (r) = `21/2` cm

`2/3pi(R^3 - r^3)`

= `2/3 xx 22/7((14)^3 - (21/2)^3)`

= `44/21(2744 - 1157.625)`

= `44/21 xx 1586.375`

= `3323.83  "cm"^3`

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