Advertisements
Advertisements
प्रश्न
What length of a solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of length 16 cm, external diameter 20 cm and thickness 2.5 mm?
उत्तर
Here, r = Internal radius
R = External radius = 10 cm
h = Length of the cylinder
t = Thickness = 0.25 cm
Volume of the hollow cylinder = πh(R2 - r2) = π (16) (102 - (10-0.25)2) = 79 π cm3
Volume of the solid cylinder = Volume of the hollow cylinder
We know that the radius of the solid cylinder is 1 cm.
∴ π(12)h = 79 π
h = 79 cm
Hence, length of the solid cylinder that gives the same volume as the hollow cylinder is 79 cm.
APPEARS IN
संबंधित प्रश्न
A metal pipe is 77 cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm.(See the given figure)
(i) inner curved surface area,
(ii) outer curved surface area,
(iii) total surface area.
`["Assume "pi=22/7]`
The total surface area of a hollow cylinder which is open from both sides is 4620 sq. cm,area of base ring is 115.5 sq. cm and height 7 cm. Find the thickness of the cylinder
A cylindrical vessel, without lid, has to be tin-coated on its both sides. If the radius of the base is 70 cm and its height is 1.4 m, calculate the cost of tin-coating at the rate of Rs. 3.50
per 1000 cm2.
Find the volume of a cylinder whose r = 2.8 m, h = 15 m .
A rectangular sheet of paper 30 cm × 18 cm can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.
If r is the radius and h is height of the cylinder the volume will be
The total surface area of a cylinder is 3872cm2. Find its height and volume if the circumference of the base is 88cm.
A cylindrical container with internal diameter of its base 20 cm, contains water upto a height of 14 cm. Find the area of the wet surface of the cylinder.
If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be ______.
In the example given below, the radius of the base of a cylinder and its height is given. Then find the curved surface area and total surface area.
r = 2.5 cm, h = 7 cm
