Advertisements
Advertisements
प्रश्न
A school provides milk to the students daily in a cylindrical glasses of diameter 7 cm. If the glass is filled with milk upto an height of 12 cm, find how many litres of milk is needed to serve 1600 students.
उत्तर
Given: Diameter of cylinder glass = 7 cm
Glass is filled with milk upto an height of 12 cm.
Radius of cylinder glass = `"Diameter"/2 = 7/2` = 3.5 cm
Volume of cylinder glass (V) = πr2h
= `22/7 xx (3.5)^2 xx 12`
= `22/7 xx 12.25 xx 12`
= 22 × 1.75 × 12
= 462 cm2
Quantity of milk needed for 1600 students = (462 × 1600) cm3
= 739200 cm3
= `739200/1000` litres
= 739.2 litres
APPEARS IN
संबंधित प्रश्न
Water flows, at 9 km per hour, through a cylindrical pipe of cross-sectional area 25 cm2. If this water is collected into a rectangular cistern of dimensions 7.5 m by 5 m by 4 m; calculate the rise in level in the cistern in 1 hour 15 minutes.
A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3.5 m.
Calculate:
- the total area of the internal surface, excluding the base;
- the internal volume of the container in m3.
What length of solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of external diameter 20 cm, 0.25 cm thickand 15 cm long?
A solid metallic sphere of radius 6 cm is melted and made into a solid cylinder of height 32 cm. Find the:
(i) radius of the cylinder
(ii) curved surface area of the cylinder
Take π = 3.1
The height of a circular cylinder is 20 cm and the radius of its base is 7 cm. Find : the total surface area.
Water is being pumped out through a circular pipe whose external diameter is 7 cm. If the flow of water is 72 cm per second how many litres of water are being pumped out in one hour.
A 14 m deep well with inner diameter 10 m is dug and the earth taken out is evenly spread all around the well to form an embankment of width 5 m. Find the height of the embankment.
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 volume of a cylinder becomes ______ the original volume if its radius becomes half of the original radius.
Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along its breadth respectively. Then volume of A is ______ of volume of B.