Question

A hemispherical bowl of internal diameter 54 cm contains a liquid. The liquid is to be filled in cylindrical bottles of radius 3 cm and height 9 cm. How many bottles are required to empty the bowl?

Answer 1

please check the answer

Answer 2

162 bottles are required to empty the bowl

Step-by-step explanation:

Diameter of hemispherical bowl = 54 cm

Radius of hemispherical bowl =$\frac{54}{2}=27 cm$

Volume of hemispherical bowl =$\frac{2}{3} \pi r^3$

Volume of hemispherical bowl =$\frac{2}{3} \times 3.14 \times 27^3=41203.08 cm^3$

Radius of cylindrical bottle = 3 cm

Height of cylindrical bottle = 9 cm

Volume of cylindrical bottle =$\pi r^2 h = 3.14 \times 3^2 \times 9 = 254.34 cm^3$

No. of bottles required = $\frac{41203.08}{254.34}=162$

Hence 162 bottles are required to empty the bowl

#Learn more:

hemispherical bowl of internal diameter of 36 CM contains liquid this liquid is to be filled in cylindrical bottles of radius 3 cm and height 6 cm how many bottles are required to empty the bowl​

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