Advertisements
Advertisements
प्रश्न
The sum of the radius of the base and height of a solid cylinder is 37 m. If the total surface area of the solid cylinder is 1628 cm2. Find the volume of the cylinder.
उत्तर
Given data is as follows:
h + r = 37 cm
Total surface area of the cylinder = 1628 cm2
We have to find the volume of the cylinder.
It is given that,
Total surface area = 1628 cm2
That is,
`2pirh + 2pir^2 = 1628 `
`2pir ( h +r ) = 1628`
But it is already given in the problem that,
h + r = 37 cm
Therefore,
`2pir xx 37`= 1628
`2 xx 22/7 xx r xx 37`= 1628
r = 7 cm
Since h + r = 37 cm
We have,
h + 7 = 37 cm
h = 30 cm
Now that we know both height and radius of the cylinder, we can easily find the volume.
Volume = `pir^2h`
Volume = `22/7 xx 7xx7xx30`
Volume = 4320 cm3
Hence, the volume of the given cylinder is 4620 cm3
APPEARS IN
संबंधित प्रश्न
The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder.
Assume `pi = 22/7`
A solid cylinder has total surface area of 462 cm2. Its curved surface area is one-third of its total surface area. Find the radius and height of the cylinder.
The inner diameter of a circular well is 3.5 m. It is 10 m deep Find:
(i) inner curved surface area.
(ii) the cost of plastering this curved surface at the rate of Rs. `40 per m^2`
Twenty one cylindrical pillars of the Parliament House are to be cleaned. If the diameter of each pillar is 0.50 m and height is 4 m, what will be the cost of cleaning them at the rate of Rs 2.50 per square metre?
A rectangular strip 25 cm × 7 cm is rotated about the longer side. Find the volume of the solid, thus generated.
The ratio between the radius of the base and the height of a cylinder is 2 : 3. Find the total surface area of the cylinder, if its volume is 1617 cm3.
The difference between inside and outside surfaces of a cylindrical tube 14 cm long is 88 sq. cm. If the volume of the tube is 176 cubic cm, find the inner and outer radii of the tube.
A cylindrical tube, open at both ends, is made of metal. The internal diameter of the tube is 10.4 cm and its length is 25 cm. The thickness of the metal is 8 mm everywhere. Calculate the volume of the metal
The radius of the base of a right circular cylinder is tripled and the height is doubled. What is the ratio of volume of the new cylinder to that of the original cylinder?
A rectangular metal sheet 36cm x 20cm can be formed into a right circular cylinder, either by rolling its length or by rolling along its breadth. Find the ratio of the volumes of the two cylinders thus formed.
