Advertisements
Advertisements
प्रश्न
The cylinder of radius 12 cm have filled the 20 cm with water. One piece of iron drop in the stands of water goes up 6.75 cm. Find the radius of sphere piece.
Advertisements
उत्तर
Radius of cylinder = 12 cm
Height of cylinder = 6.75 cm
Volume of water = πr2h = π x 12 x 12 x 6.75 cm3
Let the radius of iron sphere piece = R cm.
∵ Volume of sphere = volume of water
`4/3` πR3 = π x 12 x 12 x 6.75
R3 = `(π xx 12 xx 12 xx 6.75 xx 3)/(4π)`
R3 = 729
R = `root(3)(729)` = 9 cm.
Hence radius of sphere piece = 9 cm.
संबंधित प्रश्न
Find the surface area of a sphere of radius 14 cm.
`["Assume "pi=22/7]`
Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm.
(Use 𝜋 = 3.14)
A solid sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate the number of cones recast.
Total volume of three identical cones is the same as that of a bigger cone whose height is 9 cm and diameter 40 cm. Find the radius of the base of each smaller cone, if height of each is 108 cm.
Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r cm.
If the surface area of a sphere is 2826 cm2 then find its volume. ( π= 3.14)
The radius of two spheres are in the ratio of 1 : 3. Find the ratio between their volume.
How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter?
The radius of a sphere is 10 cm. If we increase the radius 5% then how many % will increase in volume?
The radius of a sphere increases by 25%. Find the percentage increase in its surface area
