Water is flowing at the rate of 5 text{ km/h} | vedclass

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

Question

(A) $1$. Radius of the pipe $(r)$ = $14/2 = 7 	ext{ cm} = 0.07 	ext{ m}$.$2$. Speed of water = $5 	ext{ km/h} = 5000 	ext{ m/h}$.$3$. Volume of wa

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(A) $1$. Radius of the pipe $(r)$ = $14/2 = 7 	ext{ cm} = 0.07 	ext{ m}$.$2$. Speed of water = $5 	ext{ km/h} = 5000 	ext{ m/h}$.$3$. Volume of water flowing through the pipe in $1 	ext{ hour} = \pi r^2 h = (22/7) 	imes (0.07)^2 	imes 5000 = (22/7) 	imes 0.0049 	imes 5000 = 22 	imes 0.0007 	imes 5000 = 77 	ext{ m}^3$.$4$. Volume of water required in the tank = $	ext{Length} 	imes 	ext{Width} 	imes 	ext{Height} = 50 	ext{ m} 	imes 44 	ext{ m} 	imes (7/100) 	ext{ m} = 50 	imes 44 	imes 0.07 = 154 	ext{ m}^3$.$5$. Time taken = $	ext{Total volume required} / 	ext{Volume per hour} = 154 / 77 = 2 	ext{ hours}$.

Water is flowing at the rate of $5 \text{ km/h}$ through a pipe of diameter $14 \text{ cm}$ into a rectangular tank which is $50 \text{ m}$ long and $44 \text{ m}$ wide. The time taken,in hours,for the rise in the level of water in the tank to be $7 \text{ cm}$ is:

Similar Questions

How many bricks are required to build a $15\, m$ long,$3\, m$ high,and $50\, cm$ thick wall,if each brick measures $25\, cm \times 12\, cm \times 6\, cm$?

$A$ solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is

The base of a right prism is a quadrilateral $ABCD$. Given that $AB = 9\, cm$,$BC = 14\, cm$,$CD = 13\, cm$,$DA = 12\, cm$ and $\angle DAB = 90^{\circ}$. If the volume of the prism is $2070\, cm^3$,then the area of the lateral surface is........$cm^2$.

How many small cubes,each of $96\,cm^{2}$ surface area,can be formed from the material obtained by melting a larger cube with $384\,cm^{2}$ surface area?

$A$ sphere is cut into two hemispheres. One of them is used as a bowl. It takes $8$ bowlfuls of this to fill a conical vessel of height $12\, cm$ and radius $6\, cm$. The radius of the sphere (in centimeter) will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module