Water is flowing at the rate of 15, km/h thro | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given: Length of the pond $= 50\, m$,Width of the pond $= 44\, m$.Required rise in water level $= 21\, cm = 0.21\, m$.Volume of water required in

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(D) Given: Length of the pond $= 50\, m$,Width of the pond $= 44\, m$.Required rise in water level $= 21\, cm = 0.21\, m$.Volume of water required in the pond $= 50 	imes 44 	imes 0.21 = 462\, m^3$.Radius of the pipe $(r) = \frac{14}{2} = 7\, cm = 0.07\, m$.Speed of water $= 15\, km/h = 15000\, m/h$.Volume of water flowing through the pipe in $1\, h = \pi r^2 	imes 	ext{speed} = \frac{22}{7} 	imes (0.07)^2 	imes 15000$.$= \frac{22}{7} 	imes 0.0049 	imes 15000 = 22 	imes 0.0007 	imes 15000 = 231\, m^3$.Time required to fill $462\, m^3$ of water $= \frac{	ext{Total volume required}}{	ext{Volume flow per hour}} = \frac{462}{231} = 2\, h$.Thus,the required time is $2\, h$.

Water is flowing at the rate of $15\, km/h$ through a pipe of diameter $14\, cm$ into a cuboidal pond which is $50\, m$ long and $44\, m$ wide. In what time will the level of water in the pond rise by $21\, cm$? (in $h$)

Similar Questions

The volume of a cylinder is $20 \pi \, cm^3$ and its height is $5 \, cm$. Then,the diameter of the cylinder is $\ldots \ldots \ldots \ldots \, cm$.

Write 'True' or 'False' and justify your answer:
Total surface area of a lattu (top) as shown in the $Fig.$ is the sum of total surface area of hemisphere and the total surface area of cone.

The curved surface area of a cone is $85 \pi \, cm^{2}$. If its diameter is $10 \, cm$,its slant height is $\dots \dots \dots \dots \, cm$.

The radii of a frustum of a cone are $14 \,cm$ and $7 \,cm$. If its height is $24 \,cm$,find its curved surface area,total surface area,and volume.

$A$ cylinder with radius $21 \, cm$ and height $18 \, cm$ is closed at both the ends by hemispheres. Find the surface area of this article. $(\pi = \frac{22}{7})$ (in $cm^2$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module