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A hemisphereical bowl of internal diamet...

A hemisphereical bowl of internal diameter 36cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3cm and height 6cm. How many bottles are required to empty.

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Radius of hemispherical bowl =18 {cm}
Volume of hemispherical bowl `=frac{2}{3} pi times(18)^{3} {cm}^{3}`
Radius of cylindrical bottle =3 {cm}
Height of cylindrical bottle =6 {cm}
Volume of cylindrical bottle `=(pi times 3^{2} times 6) {cm}^{3}`
Let x bottles are required to empty the bowl. Volume of {x} cylindrical bottles `=(pi times 9 times 6 times {x}) {cm}^{3}`
Volume of liquid in {x} bottles = Volume of bowl
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