Advertisements
Advertisements
Question
A hemispherical bowl of internal diameter 30 cm is full of a liquid. This liquid is poured into cylindrical bottles of diameter 5 cm and height 6 cm each. How many bottles are required?
Solution
Radius of hemispherical ball`=30/2= 15 "cm"`
Volume of hemispherical bowl`=2/3pi"r"^3`
`=(2/3xx15xx15xx15)"cm"^3`
Radius of each`=5/2 "cm"`
Height of each bottle = 6 cm
`= "volume of each bottle =πr2h `
`=(pixx5/2xx5/2xx6)"cm"^3`
`=(2xxpixx15xx15xx2)/(3xxpixx5xx5xx6)`
=60
APPEARS IN
RELATED QUESTIONS
A spherical glass vessel has a cylindrical neck 8 cm long, 2cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements, and π = 3.14
2.2 Cubic dm of grass is to be drawn into a cylinder wire 0.25cm in diameter. Find the length of wire?
The diameter of a metallic sphere is equal to 9cm. it is melted and drawn into a long wire of diameter 2mm having uniform cross-section. Find the length of the wire?
A solid iron pole having cylindrical portion 110 cm high and of base diameter 12 cm is surmounted by a cone 9 cm high. Find the mass of the pole, given that the mass of 1 cm3of iron is 8 gm.
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.
Two right circular cylinders of equal volumes have their heights in the ratio 1 : 2. What is the ratio of their radii?
A metal cube of side 11 cm is completely submerged in water contained in a cylindrical vessel with diameter 28 cm. Find the rise in the level of water.
How many bags of grain can be stored in a cuboid granary 12 m × 6 m × 5 m. If each bag occupies a space of 0.48 m3?
Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is ______.
A solid iron cuboidal block of dimensions 4.4 m × 2.6 m × 1 m is recast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe.
