Advertisements
Advertisements
प्रश्न
A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.
विकल्प
True
False
उत्तर
This statement is True.
Explanation:
We consider that the radius of the base of a cylinder and a right circular cone be r and height be h.
So, The formula of volume of a cylinder = `pir^2h`
The formula of volume of a cone = `1/3 pir^2h`
Since, Volume of a cylinder = 3 × Volume of a cone
Therefore, the volume of a cylinder is three times the volume of the right circular cone.
APPEARS IN
संबंधित प्रश्न
Find the capacity in litres of a conical vessel with height 12 cm and slant height 13 cm.
`["Assume "pi=22/7]`
A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?
`["Assume "pi=22/7]`
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.
`["Assume "pi=22/7]`
A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.
A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground. Find the area of the canvas required for the tent.
The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk. Find its diameter of its base.
A solid cylinder is melted and cast into a cone of same radius. The heights of the cone and cylinder are in the ratio
If the heights of two cones are in the ratio of 1 : 4 and the radii of their bases are in the ratio 4 : 1, then the ratio of their volumes is
The slant height of a cone is increased by 10%. If the radius remains the same, the curved surface area is increased by
The height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be