Advertisements
Advertisements
Question
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.
Solution
Radius of pipe = 0.75 cm = 0.0075 m ...`[∵ 1 cm = 1/100 m]`
The rate of water flow = 7 m/s
∴ Length of water in 1 sec = 7 m
∴ Volume of water flow in 1 hour = `60 xx 60 xx 22/7 xx 0.0075 xx 0.0075 xx 7`
= 3600 × 3.14 × 0.00005625 × 7
= 11304 × 7 × 0.00005625
= 79128 × 0.00005625
= 4.45095 m3
= 4.45000 m3
= 4450000 cm3 ...[∵ 1000 cm3 = 1 L]
= 4450 L
APPEARS IN
RELATED QUESTIONS
A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylindrical part is `4 2/3` m and the diameter of hemisphere is 3.5 m. Calculate the capacity and the internal surface area of the vessel.
A cylinder of circumference 8 cm and length 21 cm rolls without sliding for `4 1/2` seconds at the rate of 9 complete rounds per second. Find the distance travelled by the cylinder in `4 1/2` seconds.
The height and the radius of the base of a cylinder are in the ratio 3 : 1. If it volume is 1029 π cm3; find it total surface area.
Find the volume of the cylinder if the circumference of the cylinder is 132 cm and height is 25 cm.
3080 cm3 of water is required to fill a cylindrical vessel completely and 2310 cm3 of water is required to fill it upto 5 cm below the top. Find :
- radius of the vessel.
- height of the vessel.
- wetted surface area of the vessel when it is half-filled with water.
The difference between the outer curved surface area and the inner curved surface area of a hollow cylinder is 352 cm2. If its height is 28 cm and the volume of material in it is 704 cm3; find its external curved surface area.
Two solid cylinders, one with diameter 60 cm and height 30 cm and the other with radius 30 cm and height 60 cm, are metled and recasted into a third solid cylinder of height 10 cm. Find the diameter of the cylinder formed.
Two right circular solid cylinders have radii in the ratio 3 : 5 and heights in the ratio 2 : 3. Find the ratio between their volumes.
If the circumference of a conical wooden piece is 484 cm then find its volume when its height is 105 cm.
A hollow garden roller of 42 cm diameter and length 152 cm is made of cast iron 2 cm thick. Find the volume of iron used in the roller.
