A solid sphere of radius r is melted

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Given, An iron solid sphere of radius 3cm is melted and recast into small spherical balls of 1 cm each. So, R=3cm and r=1 cm Let, ‘n’ number of small spherical balls are made. No. of small balls =Volume of large sphere/ Volume of small sphere n=(4... Volume of a solid sphere is V = (4/3)*(π*r^3) where ‘r’ is its radius. Volume of a right circular cone is V = (π*r^2)*(h/3) where ‘r’ is the radius of its base and 'h' is its height. The radii of the bases of two right circular solid cones of the same height are r1 & r2. The cones are melted & recasted into a solid sphere if radius R . show that the height of each cone is given by h=4R^3÷r1^2+r2^2 ?May 29, 2018 · Ex 13.8, 9 Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S . Find the radius r of the new sphere, Whenever one shape is melted to another shape, volume remains constant Volume of 27 sphere of radius r = Volume of big sphere of radius r 27 (4/3 r3) = 4/3 (r )3 27r3 = r 3 r 3 = 27r3 r 3 = (3r)3 r = 3r. An insulating solid sphere of radius a = 0.5 m. If the sphere carries a total positive charge of 15 nC, calculate the magnitude of the electric field at r = 0.2 m from the center of the sphere. Math. A copper solid cylinder of radius 14cm and height 10cm is melted and recast into cylindrical wire of diameter 4mm.find the length of the copper ... An insulating solid sphere of radius a = 0.5 m. If the sphere carries a total positive charge of 15 nC, calculate the magnitude of the electric field at r = 0.2 m from the center of the sphere. Math. A copper solid cylinder of radius 14cm and height 10cm is melted and recast into cylindrical wire of diameter 4mm.find the length of the copper ...Sep 17, 2010 · it's solid so you wanna think of volumes here and not surface areas. our sphere's volume is 38792.38608 cm³ (4/3 π r³) so we have that much melted metal to be cast into cylinders. cylinder's volume is π r ² h and we're looking for h here. π r ² h = 38792.38608 cm³ Qu(26):- A solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then radius of the base of cone is:- (a) 2r (b) r (c) 4r (d) 3r Channel Link:- https://youtube ...here, radius of sphere= r height of cone= r Let the radius of the base of cone = x Volume of sphere = 4/3 pi r3 Volume of cone = 1/3 pi r2h so, vol. of sphere = vol. of cone 4/3 pi r3 =1/3 pi r2h 4/3 pi r3 = 1/3 pi x2 r 4r2 = x2 x = root over 4r2 x = 2r Thus radius of the cone is 2r units.A solid sphere of radius r is melted and cast into the shape of a solid cone of height r , the radius of the base of the cone is - 2053294(1/3) r ^2 h = n * (4/3) R^3 (1/3) 30 ^2 * 20 = n * (4/3) 5 ^3 30 ^2 * 20 = n *4* 5 ^3 30 ^2 = n *5^2 n = 6^2 = 36 Oct 13, 2018 · To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCWIf a metallic sphere of radius 6 cm is melted and recast into the shape of a cylinder of radius 3 cm,then the height of... Jul 17, 2019 · Ex 13.3, 1 A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder. Since sphere is melted into a cylinder , So, Volume of sphere = volume of cylinder Volume of sphere Radius = r = 4.2 cm volume of sph Volume of a solid sphere is V = (4/3)*(π*r^3) where ‘r’ is its radius. Volume of a right circular cone is V = (π*r^2)*(h/3) where ‘r’ is the radius of its base and 'h' is its height. Sep 20, 2015 · Derivation of moment of inertia of an uniform solid sphere. An uniform solid sphere has a radius R and mass M. calculate its moment of inertia about any axis through its centre. Note: If you are lost at any point, please visit the beginner’s lesson or comment below. First, we set up the problem. Qu(26):- A solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then radius of the base of cone is:- (a) 2r (b) r (c) 4r (d) 3r Channel Link:- https://youtube ...Jul 17, 2019 · Ex 13.3, 1 A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder. Since sphere is melted into a cylinder , So, Volume of sphere = volume of cylinder Volume of sphere Radius = r = 4.2 cm volume of sph Jun 25, 2007 · asked in Science & Mathematics Mathematics · 1 decade ago Three spherical metal balls of radii 6cm,8cm and R cm are melted into a solid sphere of radius 12cm. Question 844032: a diagram shows a metal cylinder. the cylinder has base radius of 2x and the height 9x. the cylinder is melted down and made into a sphere of radius r. find an expression for r in terms of x.here, radius of sphere= r height of cone= r Let the radius of the base of cone = x Volume of sphere = 4/3 pi r3 Volume of cone = 1/3 pi r2h so, vol. of sphere = vol. of cone 4/3 pi r3 =1/3 pi r2h 4/3 pi r3 = 1/3 pi x2 r 4r2 = x2 x = root over 4r2 x = 2r Thus radius of the cone is 2r units.Example 10: Twenty seven solid iron spheres, each of radius r and surface area S, are melted to form a sphere with surface area S'. Find the-(i) radius r' of the new sphere, (ii) ratio of S and S'. Solution: (i) Vol. of bigger solid sphere formed = 24 × vol. of each solid sphere melted. ⇒If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone isOct 22, 2011 · The volume of the sphere will theoretically be the same as the only thing that changes is the shape of the material and not the amount. The volume of a sphere has equation (4/3)(π*r^3), so (4/3)(π*r^3) = 216 (π*r^3) = 162. r^3 = 162/π. r = (162/π)^1/3. r ≈ 3.72 (2 d.p) and so the radius of the sphere is roughly equal to 3.72cm Given, An iron solid sphere of radius 3cm is melted and recast into small spherical balls of 1 cm each. So, R=3cm and r=1 cm Let, 'n' number of small spherical balls are made. No. of small balls =Volume of large sphere/ Volume of small sphere n=(4...Feb 11, 2014 · Let the radius of a solid sphere be R; R=1.0cm. Let the length of the stretched wire be L; L=100cm. During the whole process of shape transformation the volume of the solid material will always be the same. this means that, the volume of the solid sphere equals to the volume of the stretched wire. Volume of solid sphere is given by: (4pi/3)*R^3 If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is. 9th. Maths. Surface Areas and Volumes. Volume of Cone. A solid sphere of radius `' r '` is melted and recast into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 4 cm, its height 24 cm and thickness 2 cm, find the value of `' r '` .A solid sphere of radius r is melted and cast into the shape of a solid cone of height r - Duration: 2:06. GRAVITY COACHING CENTRE 271 views. 2:06.A solid sphere of radius `' r '` is melted and recast into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 4 cm, its height 24 cm and thickness 2 cm, find the value of `' r '` . An insulating solid sphere of radius a = 0.5 m. If the sphere carries a total positive charge of 15 nC, calculate the magnitude of the electric field at r = 0.2 m from the center of the sphere. Math. A copper solid cylinder of radius 14cm and height 10cm is melted and recast into cylindrical wire of diameter 4mm.find the length of the copper ...