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A solid sphere of radius 13 cm is melted and its some part is used to cast a hollow sphere whose internal radius is 5 cm. What will be the thickness of the sphere if the surface area of solid sphere is equal to the total surface area of hollow sphere?
In this question two quantities are given. Find and compare them and choose the appropriate options. A cylinder of radius R and height H has the same volume as that of a sphere of radius r. The surface area of sphere is more than the curved surface area of cylinder. Quantity I: x, where 9x – 2 = 0 Quantity II: R/H; where a cylinder of radius R and height H has the same volume as that of a sphere of radius r. The surface area of sphere is more than the curved surface area of cylinder.
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
If the radius of a sphere increased by 25%, by what approximate percentage will the expression (3Sr - 2V) will increase, where ‘S’ is the surface area of the sphere, ‘r’ is the radius of the sphere and ‘V’ is the volume of the sphere?
A sphere is melted down to form 64 small spheres. The difference between the radius of the large sphere and that of a small sphere is 31.5 cm. What will be the total surface area of a small sphere?
The ratio of total surface area and volume of a sphere is 1 ∶ 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?
A metal sphere of surface area 0.0225 m2 is in an evacuated enclosure whose walls are held at a very low temperature. Electric current is passed through resistors embedded in the sphere causing electrical energy to be dissipated at the rate of 75 W. If the sphere surfaces temperature is measured to be 560 K, while in steady state, calculate emissivity of the sphere surface
The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is1/6ththe radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?
A sphere whose total surface area is (49π/4) cm2 by mistake a person divide the sphere into two part of hemisphere so that the total surface area of sphere is changed. Find the total surface area of each hemisphere.
A small sphere of radius r is kept inside a hollow sphere of radius R (R > r) concentrically. The large and small sphere are charged by charges Q and q respectively. Both the sphere are separated from each other. The potential difference depends upon: