Advertisements
Advertisements
Question
How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
`["Assume "pi=22/7]`
Solution
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
RELATED QUESTIONS
A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.
`["Assume "pi=22/7]`
The front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown in the given figure. Eight such spheres are used for this purpose, and are to be painted silver. Each support is a cylinder of radius 1.5 cm and height 7 cm and is to be painted black. Find the cost of paint required if silver paint costs 25 paise per cm2 and black paint costs 5 paise per cm2.
Find the volume of a sphere whose diameter is 2.1 m .
A cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.
A cylinder of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 6.75 cm. Find the radius of the ball.
(Use 𝜋 = 22/7).
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
A hollow sphere of internal and external radii 2 cm and 4 cm respectively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.
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 outer and the inner surface areas of a spherical copper shell are 576π cm2 and 324π cm2 respectively. Find the volume of the material required to make the shell
The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas.
