Advertisements
Advertisements
प्रश्न
A soft drink is available in two packs-(i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?
उत्तर
Given data is as follows:
(i) For tin can with rectangular base:
Length = 5 cm
Width = 4 cm
Height = 10 cm
(ii) For plastic cylinder with circular base
Diameter = 7 cm
Height = 10 cm
We have to find out which container has greater capacity and also the difference in their capacities.
(i) Volume of tin can = `"lenght" xx "breagth" xx "height"`
= `5xx4xx10`
=200 `cm^3`
(ii) Volume of cylinder = `pir^2h`
Diameter is given as 7cm. Therefore, r = `7/2`
Volume of cylinder = `22/7 xx 7/2xx7/2xx10`
= 385 cm3
From the above it can be concluded that plastic cylinder has greater capacity.
Difference in their capacities = 385 – 200 = 185 cm3
APPEARS IN
संबंधित प्रश्न
The total surface area of a hollow metal cylinder, open at both ends of external radius 8 cm and height 10 cm is 338 p `cm^2`. Taking r to be inner radius, obtain an equation in r and use it to obtain the thickness of the metal in the cylinder.
The volume and the curved surface area of a cylinder are 1650 cm3 and 660 cm2respectively. Find the radius and height of the cylinder.
The trunk of a tree is cylindrical and its circumference is 176 cm. If the length of the trunk is 3 m, find the volume of the timber that can be obtained from the trunk.
The difference between inside and outside surfaces of a cylindrical tube 14 cm long is 88 sq. cm. If the volume of the tube is 176 cubic cm, find the inner and outer radii of the tube.
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the diameter and the height of the pillar.
Two circular cylinders of equal volumes have their heights in the ratio 1 : 2. Find the ratio of their radii.
A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 cm through which water flows at the rate of 2 metre per second. In how much time the tank will be filled?
The volume of a cylinder of radius r is 1/4 of the volume of a rectangular box with a square base of side length x. If the cylinder and the box have equal heights, what is r in terms of x?
Find the total surface area of a closed cylindrical drum if its diameter is 50 cm and height is 45 cm. (π = 3.14)
Curved surface area of a cylinder of radius h and height r is ______.
