Advertisements
Advertisements
प्रश्न
A rectangular strip 36cm x 22cm is rotated about the longer side. Find the volume and the total surface area of the cylinder formed.
उत्तर
Dimensions of rectangular strip = 36cm x 22cm
The rectangular strip is rotated about its length to form a cylinder, thus the length and breadth of the sheet will be equal to circumference and height (h) of the cylinder respectively.
Let r be the radius of the cylinder.
Circumference of cylinder = 36cm
2 x π x r = 36cm .......................................(1)
r = `(36)/(2π)`
r = `(18)/π"cm"`
thus,
Volume of the cylinder so formed
= π x r2 x h
= `πxx (18/π)^2 xx 22`
= 182 x 7
= 2268cm3
Now,
T.S.A. of cylinder
= (2 x π x r x h) + (2 x π x r x r)
= `(36 xx 22) + (36 xx 18/pi)` ...[from (1)]
= 792 + 206.18
= 998.18cm2.
APPEARS IN
संबंधित प्रश्न
It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet are required for the same?
`["Assume "pi=22/7]`
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.
The rain which falls on a roof 18 m long and 16.5 m wide is allowed to be stored in a cylindrical tank 8 m in diameter. If it rains 10 cm on a day, what is the rise of water level in the tank due to it?
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?
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.
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 server 250 patients?
Find the area of base and radius of a cylinder if its curved surface area is 660 sqcm and height is 21 cm.
A cylinder has a diameter 20cm. The area of the curved surface is 1100cm2. Find the height and volume of the cylinder.
A solid iron cylinder has total surface area of 1848 sq.m. Its curved surface area is five – sixth of its total surface area. Find the radius and height of the iron cylinder.
A rectangular sheet of paper of size 11 cm × 7 cm is first rotated about the side 11 cm and then about the side 7 cm to form a cylinder, as shown in the diagram. The ratio of their curved surface areas is ______.
