English

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients? - Mathematics

Advertisements
Advertisements

Question

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

`["Assume "pi=22/7]`

 

Solution

Radius (r) of cylindrical bowl = (7/2)cm = 3.5cm

Height (h) of bowl, up to which bowl is filled with soup = 4 cm

Volume of soup in 1 bowl = πr2h

`=(22/7xx(3.5)^2xx4)cm^3`

= (11 × 3.5 × 4) cm3

= 154 cm3

Volume of soup given to 250 patients = (250 × 154) cm3

= 38500 cm3

= 38.5 litres.

shaalaa.com
  Is there an error in this question or solution?
Chapter 13: Surface Area and Volumes - Exercise 13.6 [Page 231]

APPEARS IN

NCERT Mathematics [English] Class 9
Chapter 13 Surface Area and Volumes
Exercise 13.6 | Q 8 | Page 231

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 80 m, calculate the total area of canvas required. Also, find the total cost of canvas used at Rs. 15 per metre if the width is 1.5 m.


A cylindrical can, whose base is horizontal and of radius 3.5 cm, contains sufficient water so that when a sphere is placed in the can, the water just covers the sphere. Given that the sphere just fits into the can, calculate:

  1. the total surface area of the can in contact with water when the sphere is in it;
  2. the depth of water in the can before the sphere was put into the can.

What length of solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of external diameter 20 cm, 0.25 cm thick and 15 cm long?


Find the volume of the largest cylinder formed when a rectangular piece of paper 44 cm by 33 cm is rolled along its :

  1. shorter side.
  2. longer side.

The sum of the heights and the radius of a solid cylinder is 35 cm and its total surface area is 3080 cm2, find the volume of the cylinder. 


The diameter of the cross-section of a water pipe is 5 cm. Water flows through it at 10km/hr into a cistern in the form of a cylinder. If the radius of the base of the cistern is 2.5 m, find the height to which the water will rise in the cistern in 24 minutes.


A right-angled triangle whose sides are 6 cm, 8 cm and 10 cm is revolved about the sides containing the right angle in two ways. Find the difference in volumes of the two solids so formed.


Volume of a cylinder with radius h and height r is ______.


From a pipe of inner radius 0.75 cm, water flows at the rate of 7 m per second. Find the volume in litres of water delivered by the pipe in 1 hour.


Volume of a cylinder is 330 cm3. The volume of the cone having same radius and height as that of the given cylinder is:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×