Advertisements
Advertisements
प्रश्न
In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is
विकल्प
5600π cm3
11200π cm3
56π cm3
3600π cm3
उत्तर
11200π cm3
Explanation;
Hint:
Here, let the external radius be "R" and the internal radius be "r"
R + r = 14 ...(1)
Width (R – r) = 4 ...(2)
Height of the hollow cylinder = 20 cm
Volume of the hollow cylinder = πh × (R2 – r2)
= πh(R + r) (R – r)
= π × 20 (14) × 4
= π × 1120
= 1120π cm3
APPEARS IN
संबंधित प्रश्न
It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find
(i) Inner curved surface area of the vessel
(ii) Radius of the base
(iii) Capacity of the vessel
`["Assume "pi=22/7]`
Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area?
A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into conical shaped small container each of diameter 3 cm and height 4 cm. How many container are necessary to empty the bowl?
An open cylindrical vessel of internal diameter 7 cm and height 8 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is `3 1/2` cm and height 8 cm. Find the volume of water required to fill the vessel. If this cone is replaced by another cone, whose height is `1 3/4` cm and the radius of whose base is 2 cm, find the drop in the water level.
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.
Find the volume of the cylinder if the height (h) and radius of the base (r) are as given below.
r = 10.5 cm, h = 8 cm
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 internal volume of the container in m3.
The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilolitres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.
If the height of a cylinder becomes `1/4` of the original height and the radius is doubled, then which of the following will be true?
The volume of a cylinder becomes ______ the original volume if its radius becomes half of the original radius.
