Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

a solid metal cone with radius of base 12 cm andheight 24cm is melted to form solid spherical balls of diameter 6cm each.find the number of balls formed?
Asked by | 05 Mar, 2013, 10:04: AM
answered-by-expert Expert Answer
Let n number of balls be formed.
Since the metal cone is melted to form spherical balls, so the voluem of metal cone is equal to the total volume of n spherical balls.
 
Volume of cone = n (Volume of 1 spherical ball)
1/3 * pi* r2 * h = n * 4/3 * pi * r3
1/3 * pi* (12)2 * (24) = n * 4/3 * pi * (3)3
(12)2 * (24) = n * 4 * (3)3
n = 32
Thus, 32 spherical balls can be formed.
Answered by | 05 Mar, 2013, 04:56: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
what is cone surface area
Asked by sagarvarun6535 | 03 Mar, 2024, 09:37: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the height of largest right circular cone that can be cut out of a cube whose volume is 729 cm³
Asked by jogindersingh7065929020 | 20 Jan, 2024, 09:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
a company wanted to manufacture 1000 hemispheres basins from thin steel sheet radius is 21 cm find the required area of steel sheet manufacturers the above hemispherical basins
Asked by barakaakashgoud | 21 Dec, 2023, 05:16: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A rocket is in the form of circular closed at the ler end and a cone of same radius is attached to the top.The radius of the clylinder is 2.5m ,it's height is 21m and the slant height of the cone is 8m Find the T.S.A of rocket
Asked by ybproduction256 | 27 Nov, 2023, 12:26: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
a wooden toy rocket is in the shape of cone mounted on a cylinder. The height of the entire rocket is 15 cm, while the height of the conical part is 4 cm. The base of the conical portion has a diameter of 6 cm, while the base diameter of the cylindrical portion is 4 cm. If the conicle portion is painted green and the cylindrical portion is painted blue, find the area of the rocket. (use π=3.14)
Asked by shivalaxmi0205 | 05 Sep, 2023, 06:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A golf ball is spherical with about 300 - 500 dimples that help increase its velocity while in play. Golf balls are traditionally white but available in colours also. In the given figure, a golf ball has diameter 4-2 cm and the surface has 315 dimples (hemi-spherical) of radius 2 mm. Based on the above, answer the following questions: (i) Find the surface area of one such dimple. (ii) Find the volume of the material dug out to make one dimple. Find the total surface area exposed to the surroundings.
Asked by swetalinasamantaray022 | 21 Mar, 2023, 04:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If radius of the base of cone is 7 cm and height is 24 cm, then find its slant height. (A) 23 cm  (B) 26 cm  (C) 31 cm  D) 25 cm
Asked by rashmij34 | 18 Mar, 2023, 11:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
8th one
question image
Asked by pentikalyanram | 22 Dec, 2022, 08:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
3. A glass cylinder with radius 10 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height by which water will rise in the cylinder. Use =22/7
Asked by rajsingh94116633 | 04 May, 2022, 10:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A conical tank with base radius 20 cm and height 40 cm is initially filled with water. Water drains through a small round hole at the bottom with a diameter of 1cm. Find an expression for the height of water in the tank at time t  
Asked by anitajoshi0912 | 22 Dec, 2021, 09:12: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×