English

The length, breadth and height of a cuboidal reservoir is 7 m, 6 m and 15 m respectively. 8400 L of water is pumped out from the reservoir. Find the fall in the water level in the reservoir. - Mathematics

Advertisements
Advertisements

Question

The length, breadth and height of a cuboidal reservoir is 7 m, 6 m and 15 m respectively. 8400 L of water is pumped out from the reservoir. Find the fall in the water level in the reservoir.

Sum

Solution

Length of a cuboidal reservoir = 7 m

Breadth of a cuboidal reservoir = 6 m

Height of a cuboidal reservoir = 15 m

Capacity of cuboidal reservior = `l xx b xx h` = 7 × 6 × 15 = 630 m3

If 8400 L of water is pumped out.

In meter cubic = `8400/1000` = 8.4 m3

Fall in water level = 630 – 8.4 = 621.6 m3

= 621.6 × 1000   ...[∵ 1 m3 = 1000 L]

=  621600 L

shaalaa.com
  Is there an error in this question or solution?
Chapter 11: Mensuration - Exercise [Page 358]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 8
Chapter 11 Mensuration
Exercise | Q 116. | Page 358

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

In Figure 3, OABC is a quadrant of a circle of radius 7 cm. If OD = 4 cm, find the area of the shaded region  ?\[[Use\pi = \frac{22}{7}]\]


Water flows through a cylindrical pipe , whose inner radius is 1 cm , at the rate of 80 cm /sec in an empty cylindrical tank , the radius of whose base is 40 cm . What is the rise of water level in tank in half an hour ? 


A spherical shell of lead, whose external diameter is 18 cm, is melted and recast into a right circular cylinder, whose height is 8 cm and diameter 12 cm. Determine the internal diameter of the shell.


The vertical height of a conical tent is 42 dm and the diameter of its base is 5.4 m. Find the number of persons it can accommodate if each person is to be allowed 29.16 cubic dm.


In a cylindrical vessel of diameter 24 cm, filled up with sufficient quantity of water, a solid spherical ball of radius 6 cm is completely immersed. Find the increase in height of water level.


A wall 24 m , 0.4 m thick and 6 m high is constructed with the bricks each of dimensions 25 cm  \[\times\] 16 cm \[\times\] 10 cm . If the mortar occupies  \[\frac{1}{10}th\] of the volume of the wall, then find the number of bricks used in constructing the wall.

 

A military tent of height 8.25 m is in the form of a right circular cylinder of base diameter 30 m and height 5.5 m surmounted by a right circular cone of same base radius. Find the length of canvas used in making the tent, if the breadth of the canvas is 1.5 m.


In a corner of a rectangular field with dimensions 35m × 22 m, a well with 14 m inside diameter is dug 8 m deep. The earth dug out is spread evenly over the remaining part of the field. Find the rise in the level of the field.


A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total
surface area of the toy.


How many solid cylinders of radius 6 cm and height 12 cm can be made by melting a solid sphere of radius 18 cm? 

Activity: Radius of the sphere, r = 18 cm

For cylinder, radius R = 6 cm, height H = 12 cm 

∴ Number of cylinders can be made =`"Volume of the sphere"/square`

`= (4/3 pir^3)/square`

`= (4/3 xx 18 xx 18 xx 18)/square`

= `square`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×