Advertisements
Advertisements
प्रश्न
The trunk of a tree is cylindrical and its circumference is 176 cm. If the length of the trunck is 3 m. Find the volume of the timber that can be obtained from the trunk.
उत्तर
Given data is as follows:
Circumference = 176 cm
h = 3 m
We have to find the volume of the trunk.
We know that,
Circumference = `2pir`
Therefore,
`2pir = 176`
`2 xx 22/7 xx r = 176`
` r = 28 cm`
` r =. 28 m`
We know,
Volume = `pi r^2 h`
=`22/7 xx .28 xx .28 xx 3`
Volume =0.7392 m3
Therefore, the volume of timber that can be obtained from this trunk is 0.7392 m3
APPEARS IN
संबंधित प्रश्न
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find
(i) Its inner curved surface area,
(ii) The cost of plastering this curved surface at the rate of Rs 40 per m2.
`["Assume "pi=22/7]`
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. Calculate the ratio of their volumes.
Two circular cylinders of equal volumes have their heights in the ratio 1 : 2. Find the ratio of their radii.
A well with 14 m diameter is dug 8 m deep. The earth taken out of it has been evenly spread all around it to a width of 21 m to form an embankment. Find the height of the embankment.
A soft drink is available in two packs-(i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?
A solid cylinder has a total surface area of 231 cm2. Its curved surface area is \[\frac{2}{3}\] of the total surface area. Find the volume of the cylinder.
The ratio between the radius of the base and height of a cylinder is 2 : 3. If its volume is 1617 cm3, find the total surface area of the cylinder.
Mark the correct alternative in each of the following:
In a cylinder, if radius is doubled and height is halved, curved surface area will be
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.
Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of its bases. If its height is 12 cm, find its curved surface area.