Advertisements
Advertisements
प्रश्न
Spherical marbles of diameter 1.4 cm are dropped into beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm.
Advertisements
उत्तर
Given, diameter of spherical marble = 1.4 cm
∴ Radius = `1.4/2` = 0.7 cm.
Volume of one ball = `4/3pir^3`
= `4/3pi (0.7)^3 cm^3` ...(i)
Diameter of beaker = 7 cm
∴ Radius = `7/2` cm,
Height of water (h) = 5.6 cm
∴ Volume of water = πr2h
= `pi (7/2 xx 7/2 xx 5.6) cm^3`
∴ Required No of balls dropped
= `(pi xx 49 xx 56 xx 3)/(4 xx 10 xx 4pi xx (0.7)^3)`
= `(49 xx 56 xx 3 xx 10 xx 10 xx 10)/(4 xx 10 xx 7 xx 7 xx 7 xx 4)`
= 150
संबंधित प्रश्न
A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin- plating
it on the inside at the rate of Rs. 4 per 100 `cm^2`
The surface area of a sphere is 2464 cm2, find its volume.
The total area of a solid metallic sphere is 1256 cm2. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate :
- the radius of the solid sphere.
- the number of cones recast. [Take π = 3.14]
What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter 12 cm?
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.
Find the radius of a sphere whose surface area is 154 cm2.
If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is
From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: the volume of remaining solid
The total surface area of a hemisphere is how many times the square of its radius
