Advertisements
Advertisements
प्रश्न
The volume of a right circular cylinder with its height equal to the radius is `25"1"/7` cm3. Find the height of the cylinder.
उत्तर
We have,
Height = Base radius i.e. h = r
As,
Volume of the cylinder = `25"1"/7 "cm"^3`
`=> 22/7xx"h"^2xx"h" = 176/7`
`=>22/7 xx "h"^2xx"h" = 176/7`
`=> "h"^3 = (176xx7)/(7xx22)`
`=> "h"^3 = 8`
`=> "h" = root(3)(8)`
∴ h = 2 cm
so, the height of the cylinder is 2 cm.
APPEARS IN
संबंधित प्रश्न
The diameters of the internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast and recast into a solid cylinder of diameter 14 cm, find the height of the cylinder.
Metal spheres each of radius 2cm are packed into a rectangular box of internal dimension 16cm x 8cm x 8cm when 16 spheres are packed the box is filled with preservative liquid. Find volume of this liquid?
A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them is being 3.5 cm and the total height of solid is 9.5 cm. Find the volume of the solid. (Use π = 22/7).
A solid consists of a circular cylinder surmounted by a right circular cone. The height of the cone is h. If the total height of the solid is 3 times the volume of the cone, then the height of the cylinder is
The radii of internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm, respectively. It is melted and recast into a solid cylinder of diameter 14 cm. Find the height of the cylinder.
150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.
The area of the base of a rectangular tank is 6500 cm2 and the volume of water contained in it is 2.6 m3. The depth of water in the tank is
A hemispherical bowl of internal radius 9 cm is full of water. This water is to be filled in cylindrical bottles of diameter 3 cm and height 4 cm. Find the number of bottles needed in which the water can be filled.
In the given figure, find the area of the unshaded portion within the rectangle. (Take π = 22/7).
The rain water from a roof of dimensions 22 m × 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the rain water collected from the roof just fill the cylindrical vessel, then find the rainfall in cm.
