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.
पर्याय
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
The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of its base. [Use π = 3.14]
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.
If the triangle ABC in the above question is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.
If the volume of a right circular cone of height 9 cm is 48 `pi` cm3, find the diameter of its base.
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.
Find the area of metal sheet required in making a closed hollow cone of base radius 7 cm and height 24 cm.
Mark the correct alternative in each of the following:
The number of surfaces of a cone has, is
The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is
If a cone is cut into two parts by a horizontal plane passing through the mid-point of its axis, the axis, the ratio of the volumes of upper and lower part is
Volume of a cone is 6280 cubic cm and base radius of the cone is 20 cm. Find its perpendicular height. (π = 3.14)
There are 25 persons in a tent which is conical in shape. Every person needs an area of 4 sq.m. of the ground inside the tent. If height of the tent is 18 m, find the volume of the tent.