A hemispherical bowl radius is 15cm and contains liquid and that is filled into some cylindrical bottles whose radius is 2.5cm and height is 6cm. How many cylindrical bottles are required to empty the hemispherical bowl?
Answers
Answer:
60
Step by step explanation:
Radius of hemisphere = 15 cm
Volume of hemisphere = \frac{2}{3} \pi r^{3}
= \frac{2}{3} \pi (15)^{3}
= 2250 \pi
Diameter of cylinder = 5 cm
Radius of cylinder = diameter /2 = 5 /2 = 2.5 cm
Height of cylinder = 6 cm
Volume of cylinder = \pi r^{2} h
= \pi (2.5)^{2} \times 6
= 37.5\pi
Number of bottles required to empty bowl :
= \frac{\text{volume of hemisphere}}{\text{volume of cylinder}}
= \frac{2250 \pi}{37.5\pi}
= 60
Thus the number of bottles required to empty the bowl is 60 .
Step-by-step explanation:
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