Advertisements
Advertisements
प्रश्न
Two cylinders of equal volume have heights in the ratio 1 : 9. The ratio of their radii is ______.
उत्तर
Two cylinders of equal volume have heights in the ratio 1 : 9. The ratio of their radii is 3 : 1.
Explanation:
Let r1, r2 be the radii and h1, h2 be the heights of two cylinders.
Given, `h_1/h_2 = 1/9`
Now, according to the question,
`pir_1^2h_1 = pir_2^2h_2` ...[∵ Volume of cylinder = πr2h]
⇒ `r_1^2/r_2^2 = h_2/h_1`
⇒ `(r_1/r_2)^2 = 9/1`
⇒ `r_1/r_2 = sqrt(9)/1`
⇒ `r_1/r_2 = 3/1`
Hence, r1 : r2 = 3 : 1
APPEARS IN
संबंधित प्रश्न
A cylinderical container with a diameter of base 42 cm contains sufficient water to submerge a rectangular solid of iron with dimesions 22 cm × 14 cm × 10.5 cm. Find the rise in level of the water when the solid is submerged.
A metal pipe has a bore (inner diameter) of 5 cm. The pipe is 5 mm thick all round. Find the weight, in kilogram, of 2 metres of the pipe if 1 cm3 of the metal weights 7.7 g.
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.
A closed cylindrical tank, made of thin ironsheet, has diameter = 8.4 m and height 5.4 m. How much metal sheet, to the nearest m2, is used in making this tank, if `1/15` of the sheet actually used was wasted in making the tank?
Find the weight of a lead pipe 35 cm long. The external diameter of the pipe is 2.4 cm and the thickness of the pipe is 2mm, given 1 cm3 of lead weighs 10 gm.
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.
A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed. Find the volume of the cylinder. (Take `22/7` for π)
A cylindrical glass with diameter 20 cm has water to a height of 9 cm. A small cylindrical metal of radius 5 cm and height 4 cm is immersed it completely. Calculate the raise of the water in the glass?
A conical container is fully filled with petrol. The radius is 10 m and the height is 15 m. If the container can release the petrol through its bottom at the rate of 25 cu. meter per minute, in how many minutes the container will be emptied. Round off your answer to the nearest minute.
A school provides milk to the students daily in a cylindrical glasses of diameter 7 cm. If the glass is filled with milk upto an height of 12 cm, find how many litres of milk is needed to serve 1600 students.
