Advertisements
Advertisements
प्रश्न
If the height of a cylinder becomes `1/4` of the original height and the radius is doubled, then which of the following will be true?
पर्याय
Volume of the cylinder will be doubled.
Volume of the cylinder will remain unchanged.
Volume of the cylinder will be halved.
Volume of the cylinder will be `1/4` of the original volume.
उत्तर
Volume of the cylinder will remain unchanged.
Explanation:
We know that, the volume of a cylinder having base radius r and height h is V = πr2h
Now, If new height is `1/2`th of the original height and the radius is doubled, i.e. h' = `1/4`h and r' = 2r, then
New volume, V' = `pi(2r)^2 xx 1/4 h = 4pir^2 xx 1/4h`
= `pi^2h` = V
Hence, the new volume of cylinder is same as the original volume.
APPEARS IN
संबंधित प्रश्न
The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g.
`["Assume "pi=22/7]`
A cylindrical can, whose base is horizontal and of radius 3.5 cm, contains sufficient water so that when a sphere is placed in the can, the water just covers the sphere. Given that the sphere just fits into the can, calculate:
- the total surface area of the can in contact with water when the sphere is in it;
- the depth of water in the can before the sphere was put into the can.
An iron pole consisting of a cylindrical portion 110 cm high and of base diameter 12 cm is surmounted by a cone 9 cm high. Find the mass of the pole, given that 1 cm3 of iron has 8 gm of mass (approx). (Take π = `355/113`)
Find the volume of the cylinder if the circumference of the cylinder is 132 cm and height is 25 cm.
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 sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height?
The dimensions of a godown are 40 m, 25 m and 10 m. If it is filled with cuboidal boxes each of dimensions 2 m × 1.25 m × 1 m, then the number of boxes will be ______.
The volume of a cylinder whose radius r is equal to its height is ______.
Volume of a cylinder with radius h and height r is ______.
From a pipe of inner radius 0.75 cm, water flows at the rate of 7 m per second. Find the volume in litres of water delivered by the pipe in 1 hour.
