Advertisements
Advertisements
प्रश्न
30 circular plates, each of radius 14 cm and thickness 3 cm are placed one above the another to form a cylindrical solid. Find volume of the cylinder so formed.
उत्तर
Given, radius of a circular plate, r = 14 cm
Thickness of a circular plate = 3 cm
Thickness of 30 circular plates = 30 × 3 = 90 cm
Since, 30 circular plates are placed one above the another to form a cylindrical solid.
Then, Height of the cylindrical solid, h = Thickness of 30 circular plates = 90 cm
Volume of the cylinder so formed = πr2h
= `(22/7) xx (14)^2 xx 90`
= `(22/7) xx 14 xx 14 xx 90`
= 22 × 28 × 90
= 55440 cm3
Hence, the volume of the cylinder so formed is 55440 cm3.
APPEARS IN
संबंधित प्रश्न
A cylindrical boiler, 2 m high, is 3.5 m in diameter. It has a hemispherical lid. Find the volume of its interior, including the part covered by the lid.
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.
How much water will a tank hold if the interior diameter of the tank is 1.6 m and its depth is 0.7 m?
Find the volume of the largest cylinder formed when a rectangular piece of paper 44 cm by 33 cm is rolled along it : longer side.
A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3.5 m. Calculate: the total area of the internal surface, excluding the base.
If the radius of a cylinder is doubled and height is halved, the volume will be doubled.
The volume of a cylinder which exactly fits in a cube of side a 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.
Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.
A rectangular sheet of paper is rolled in two different ways to form two different cylinders. Find the volume of cylinders in each case if the sheet measures 44 cm × 33 cm.
