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
पर्याय
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
From a solid cylinder whose height is 16 cm and radius is 12 cm, a conical cavity of height 8 cm and of base radius 6 cm is hollowed out. Find the volume and total surface area of the remaining solid.
The height of a circular cylinder is 20 cm and the radius of its base is 7 cm. Find :
- the volume
- the total surface area.
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.
The difference between the outer curved surface area and the inner curved surface area of a hollow cylinder is 352 cm2. If its height is 28 cm and the volume of material in it is 704 cm3; find its external curved surface area.
The total surface area of a hollow cylinder, which is open from both the sides, is 3575 cm2; area of its base ring is 357.5 cm2 and its height is 14 cm. Find the thickness of the cylinder.
The radius of two right circular cylinder are in the ratio of 2 : 3 and their heights are in the ratio of 5: 4 calculate the ratio of their curved surface areas and also the ratio of their volumes.
Water flows through a cylindrical pipe of internal diameter 7 cm at 36 km/hr. Calculate the time in minutes it would take to fill the cylindrical tank, the radius of whose base is 35 cm, and height is 1 m.
The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is
How many cubic metres of earth must be dug to construct a well 7 m deep and of diameter 2.8 m?
A hollow garden roller of 42 cm diameter and length 152 cm is made of cast iron 2 cm thick. Find the volume of iron used in the roller.
