Advertisements
Advertisements
प्रश्न
A hemispherical bowl of internal radius 9 cm is full of water. This water is to be filled in cylindrical bottles of diameter 3 cm and height 4 cm. Find the number of bottles needed in which the water can be filled.
उत्तर
Radius of hemisphere = 9 cm
Volume of hemisphere `= 2/3 pir^3`
`=(2/3pixx9xx9xx9)"cm"^3`
Radius of each bottle `= 3/2 "cm"`
Height of each bottle = 4 cm
Volume of each bottle `= pi"r"^2"h"`
`=(pixx3/2xx3/2xx4)"cm"^3`
Numbe of bottles `= "Volume of the hemisphre"/"Volume of each bottle"`
`=(2pixx9xx9xx9xx2xx2)/(3xxpixx3xx3xx4)`
= 54
APPEARS IN
संबंधित प्रश्न
25 circular plates each of radius 10.5cm and thickness 1.6cm are placed one above the other to form a solid circular cylinder. Find the curved surface area and volume of cylinder so formed?
The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into a cone of height 28 cm. Find the diameter of the base of the cone so formed (Use it =`22/7`)
A cylindrical road roller made of iron is 1 m long, Its internal diameter is 54 cm and the thickness of the iron sheet used in making the roller is 9 cm. Find the mass of the roller, if 1 cm3 of iron has 7.8 gm mass. (Use π = 3.14)
A bucket made up of a metal sheet is in form of a frustum of cone of height 16cm with diameters of its lower and upper ends as 16cm and 40cm. find the volume of bucket. Also find cost of bucket if the cost of metal sheet used is Rs 20 per 100 cm2
The volume of a right circular cylinder with its height equal to the radius is `25"1"/7` cm3. Find the height of the cylinder.
A cylinder with base radius 8 cm and height 2 cm is melted to form a cone of height 6 cm. Calculate the radius of the base of the cone.
Choose the correct answer of the following question:
A metallic solid sphere of radius 9 cm is melted to form a solid cylinder of radius 9 cm. The height of the cylinder is
If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is ______.
A rectangular water tank of base 11 m × 6 m contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.
Find the volume of a solid hemisphere whose total surface area is 462 sq.m.
