(B) The volume of water required to fill the tank is $440 \ m^3$ in $10 \ min$.Therefore,the volume of water flowing through the pipe per minute is $\

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(B) The volume of water required to fill the tank is $440 \ m^3$ in $10 \ min$.Therefore,the volume of water flowing through the pipe per minute is $\frac{440}{10} = 44 \ m^3/min$.The volume of water flowing through a circular pipe per minute is given by the formula $V = \pi r^2 h$,where $h$ is the speed of water per minute and $r$ is the inner radius.Given $h = 7 \ m/min$ and $V = 44 \ m^3/min$,we have:$44 = \frac{22}{7} \times r^2 \times 7$Simplifying the equation:$44 = 22 \times r^2$$r^2 = \frac{44}{22} = 2$$r = \sqrt{2} \ m$.

Competitive Quantitative Aptitude Mensuration Measurement of Volume and Surface Area

Easy

It is required to design a circular pipe such that water flowing through it at a speed of $7 \ m/min$ fills a tank of capacity $440 \ m^3$ in $10 \ min$. The inner radius of the pipe should be (in $m$):

A
$2$
B
$\sqrt{2}$
C
$\frac{1}{2}$
D
$\frac{1}{\sqrt{2}}$

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Measurement of Volume and Surface Area

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It is required to design a circular pipe such that water flowing through it at a speed of $7 \ m/min$ fills a tank of capacity $440 \ m^3$ in $10 \ min$. The inner radius of the pipe should be (in $m$):

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$2\, cm$ of rain has fallen on a $1\, km^2$ of land. Assuming that $50\%$ of the raindrops could have been collected and contained in a pool having a $100\, m \times 10\, m$ base,by what level would the water level in the pool have increased? (in $m$)

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$A$ school room is to be built to accommodate $70$ children,so as to allow $2.2\, m^2$ of floor area and $11\, m^3$ of space for each child. If the room is $14\, m$ long,what must be its breadth and height?

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