Question

Cold drink to be served to the guests was prepared and kept in a cylindrical vessel of diameter 0.3 m and height 0.7 m. Each person was served the cold drink in a glass of radius 2.5 cm and filled to a height of 10.5 cm. How many persons can be served?

Answer 1

$no. \: of \: persons \: can \: be \: served = \frac{volume \: of \: vessel}{volume \: of \: 1glass \: }$
vol of vessel= πR²H

vol of glass= πr²h
where
r=2.5cm
h=10.5cm
R=15cm
H=70cm
no of person served = π(15)²70/π(2.5)²10.5
on solving =>24000 person

Answer 2

240 persons can be served

Step-by-step explanation:

1 m = 100 cm

Diameter of cylindrical tank = 0.3 m = 30 cm

Radius of cylindrical tank =$\frac{30}{2}= 15 cm$

Height of cylindrical tank = 0.7 m = 70 cm

Volume of cylindrical tank =$\pi r^2 h = \frac{22}{7} \times 15^2 \times 70=49500 cm^3$

Radius of cylindrical glass =2.5 cm

Height of cylindrical glass =10.5 cm

Volume of cylindrical glass =$\pi r^2 h = \frac{22}{7} \times 2.5^2 \times 10.5=206.25 cm^3$

No. of persons can be served = \frac{49500}{206.25}=240

Hence 240 persons can be served

#Learn more:

How many cylindrical glasses each of diameter 6 cm and height 14 cm can be filled from a right circular cylindrical vessel of diameter 1.2 m and height 70 cm full of milk

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