Find the rise of water level in tank due to rain water, if rain falls 1 $00$ cm and it falls on a roof of a $50$ m long and $30$ m wide, and collected in a cylindrical tank of $21$ m radius.

1.08

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Solution

The correct option is A $1.08$ m
Volume of water that fell on roof $= 50 \times 30 \times \frac{100}{100} = 1500 m^{3}$

Rise of water level $= \frac{1500}{π r^{2}} = \frac{1500}{\frac{22}{7} \times 21 \times 21} = \frac{1500}{1386} = 1.08 m$

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Find the rise of water level in tank due to rain water, if rain falls 100 cm and it falls on a roof of a 50 m long and 30 m wide, and collected in a cylindrical tank of 21 m radius.

The correct option is A 1.08 mVolume of water that fell on roof =50×30×100100=1500m3Rise of water level =1500πr2=1500227×21×21=15001386=1.08m

Find the rise of water level in tank due to rain water, if rain falls 1 $00$ cm and it falls on a roof of a $50$ m long and $30$ m wide, and collected in a cylindrical tank of $21$ m radius.

The correct option is A $1.08$ m
Volume of water that fell on roof $= 50 \times 30 \times \frac{100}{100} = 1500 m^{3}$

Rise of water level $= \frac{1500}{π r^{2}} = \frac{1500}{\frac{22}{7} \times 21 \times 21} = \frac{1500}{1386} = 1.08 m$