Advertisements
Advertisements
प्रश्न
A closed cylindrical tank, made of thin ironsheet, has diameter = 8.4 m and height 5.4 m. How much metal sheet, to the nearest m2, is used in making this tank, if `1/15` of the sheet actually used was wasted in making the tank?
उत्तर
Radius of the cylindrical tank = r = `8.4/2` = 4.2 m
Height of the cylindrical tank = h = 5.4 m
∴ Total surface area of the cylindrical tank = 2πr(h + r)
= `2 xx 22/7 xx 4.2 (5.4 + 4.2)`
= 2 × 22 × 0.6 × 9.6
= 253.44 m2
Area of sheet wasted in making the tank
= `1/15 xx 253.44`
= 16.896 m2
Hence, total sheet required = 253.44 + 16.896 = 270.34 m2
APPEARS IN
संबंधित प्रश्न
The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 cm3 = 1l)
`["Assume "pi=22/7]`
The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g.
`["Assume "pi=22/7]`
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:
- the total surface area of the can in contact with water when the sphere is in it;
- the depth of water in the can before the sphere was put into the can.
A solid metallic sphere of radius 6 cm is melted and made into a solid cylinder of height 32 cm. Find the:
(i) radius of the cylinder
(ii) curved surface area of the cylinder
Take π = 3.1
Two-cylinder have bases of the same size. The diameter of each is 14 cm. One of the cones is 10 cm high and the other is 20 cm high. Find the ratio between their volumes.
Collect some old postcards. You can also use thick paper of size 14 cm x 9 cm.
Fold the postcard along the width to make pipe 1. Join the ends with cello tape.
Take another postcard and fold it along the length to make pipe 2. Join the ends with tape.
- Guess which pipe can take more sand inside it. Hold it on a plate and pour sand to check your guess. Was your guess correct? Discuss.
A school provides milk to the students daily in a cylindrical glasses of diameter 7 cm. If the glass is filled with milk upto an height of 12 cm, find how many litres of milk is needed to serve 1600 students.
The volume of a cylinder which exactly fits in a cube of side a is ______.
Two cylinders of same volume have their radii in the ratio 1 : 6, then ratio of their heights is ______.
Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled and the radius is halved.
