Advertisements
Advertisements
प्रश्न
Two right circular cylinders of equal volumes have their heights in the ratio 1 : 2. What is the ratio of their radii?
उत्तर
Let the radii of the two cylinders be r and R; and height be h and we have,
`"h"/"H" = 1/2` ...........(i)
Volume of the first cylinder = Volume of the second sphere
⇒ πr2 H = πR2 H
`⇒ "h"/"H" = "R"^2/"r"^2`
`=> 1/2 = "R"^2/"r"^2`
`=> "r"^2/"R"^2 = 1/2`
`=> ("r"/"R")^2=1/2`
`=>"r"/"R" = sqrt(2/1)`
`∴ "r" : "R" =sqrt(2:1)`
So, the ratio of their radii is `sqrt(2)` : 1.
APPEARS IN
संबंधित प्रश्न
2.2 Cubic dm of grass is to be drawn into a cylinder wire 0.25cm in diameter. Find the length of wire?
25 circular plates each of radius 10.5cm and thickness 1.6cm are placed one above the other to form a solid circular cylinder. Find the curved surface area and volume of cylinder so formed?
A path 2m wide surrounds a circular pond of diameter 40m. how many cubic meters of gravel are required to grave the path to a depth of 20cm ?
A cylindrical jar of radius 6cm contains oil. Iron sphere each of radius 1.5cm are immersed in the oil. How many spheres are necessary to raise level of the oil by two centimetress?
A right circular cylinder having diameter 12 cm and height 15 cm is full ice-cream. The ice-cream is to be filled in cones of height 12 cm and diameter 6 cm having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.
A cube of side 6 cm is cut into a number of cubes, each of side 2 cm. The number of cubes formed is
Rainfall in an area is 5 cm. The volume of the water that falls on 2 hectares of land is
The diameter of the base of a cone is 42 cm and its volume is 12936 cm3. Its height is
The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is ______.
From a soild cylinder of height 20 cm and diameter 12 cm, a conical cavity of height 8 cm and radius 6 cm is hallowed out. Find the total surface area of the remaining solid.
