A hemispherical bowl of internal diameter 36 cm contains liquid .Ts liquid is filled into 72 cylindrical bottles of diameter 6 cms.find the height of each bottle.if 10% of liquid is wasted in ts transfer
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➡Diameter =36cm
➡r=18cm=36cm
➡r=18cm
➡Volume of a hemisphere =2/3πr³
➡2/3×22/7×18×18×18
➡12219.43cm³
➡Volume of a cylinder =πr²h
➡radius =3cm
➡Volume of 72 bottles =22/7=22/7×3×3×h×72
➡10%10% of 12,219.43=10/100×12219.43
➡1221.943cm³ is wasted.
➡Volume of the remaining ➡liquid =12219.430−1221.943=10997.487
➡∴ 10997.487=72×22/7×3×3×h
➡h=10997.487×7/ 72×22×3×3
➡54cm=54cm
Hence the height of the cylindrical bottle =54 cm
✨✨✨✨✨✨✨✨✨✨✨✨✨
here is your answer
✨✨✨✨✨✨✨✨
➡Diameter =36cm
➡r=18cm=36cm
➡r=18cm
➡Volume of a hemisphere =2/3πr³
➡2/3×22/7×18×18×18
➡12219.43cm³
➡Volume of a cylinder =πr²h
➡radius =3cm
➡Volume of 72 bottles =22/7=22/7×3×3×h×72
➡10%10% of 12,219.43=10/100×12219.43
➡1221.943cm³ is wasted.
➡Volume of the remaining ➡liquid =12219.430−1221.943=10997.487
➡∴ 10997.487=72×22/7×3×3×h
➡h=10997.487×7/ 72×22×3×3
➡54cm=54cm
Hence the height of the cylindrical bottle =54 cm
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