Advertisements
Advertisements
Question
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.
Solution
Given data is as follows:
Curved Surface Area = 267 m2
Volume = 924 m3
We have to find the height and diameter of this cylinder.
We know that,
Volume = `pir^2h`
`pir^2h` = 924
`(pirh)r`=924 ……(1)
Also, it is given that
Curved Surface Area = 267
That is,
`2pirh`=264
`pirh = 264/2` ……(2)
Now let us replace the value of `pirh` in equation (1). We get,
`(264/2) xx r `=924
`r=7`
Therefore, diameter = 7 × 2
= 14 cm
Substitute the value of r in equation (2). We get,
`22/7 xx 7 xx h = 264/2`
h = 6
Therefore, the answer to this question is,
Diameter of the cylinder = 14 m
Height of the cylinder = 6 m
APPEARS IN
RELATED QUESTIONS
Find the curved surface area and total surface area of a cylinder, the diameter of whose base is 7 cm and height is 60 cm.
The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions moving once over to level a playground. What is the area of the playground?
A hollow cylindrical pipe is 21 dm long. Its outer and inner diameters are 10 cm and 6 cm respectively. Find the volume of the copper used in making the pipe.
The volume and the curved surface area of a cylinder are 1650 cm3 and 660 cm2respectively. Find the radius and height of the cylinder.
A solid cylinder has a total surface area of 231 cm2. Its curved surface area is \[\frac{2}{3}\] of the total surface area. Find the volume of the cylinder.
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. Calculate the ratio of their volumes and the ratio of their curved surfaces.
In a cylinder, if radius is halved and height is doubled, the volume will be ______.
In the example given below, the radius of the base of a cylinder and its height is given. Then find the curved surface area and total surface area.
r = 7 cm, h = 10 cm
Find the lateral surface area, total surface area and the volume of the following cylinders: Radius = 4.2cm, Height = 12cm
If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be ______.
