Advertisements
Advertisements
प्रश्न
How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
`["Assume "pi=22/7]`
उत्तर
Diameter of the hemispherical bowl = 10.5 cm
⇒ Radius of the hemispherical bowl (r) = `10.5/2 cm` = `105/20 cm`
Volume of the hemispherical bowl = `2/3 pir^3`
= `2/3 xx 22/7 xx 105/20 xx 105/20 xx 105/20 cm^3`
= `(11 xx 105 xx 105)/(20 xx 20) cm^3`
= `121275/400 cm^3`
= 303.1875 cm3
∴ Capacity of the hemispherical bowl = 303.1875 cm3.
= `3031875/(10000 xx 1000) "litres"` ...[1000 cm3 = 1 litre]
= 0.3031875 litres
= 0.303 liters (approximately)
Therefore, the volume of the hemispherical bowl is 0.303 litres.
APPEARS IN
संबंधित प्रश्न
Find the volume of a sphere whose radius is 7 cm.
`["Assume "pi=22/7]`
The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm3?
`["Assume "pi=22/7]`
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm (see the given figure). The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm2 and the rate of painting is 10 paise per cm2, find the total expenses required for polishing and painting the surface of the bookshelf.
Find the volume of a sphere whose diameter is 3.5 dm .
A hemispherical tank has inner radius of 2.8 m. Find its capacity in litres.
A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be `3/2`cm and 2 cm, find the diameter of the third ball.
The radius of the internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm respectively. If it is melted and recast into a solid cylinder of heigh2`2/3`cm Find the diameter of the cylinder.
A solid sphere and a solid hemisphere have an equal total surface area. Prove that the ratio of their volume is `3sqrt(3):4`
The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is ______.
Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, when it is completely immersed in water.
