The formula for the surface area of a sphere is 4πr2.
The formula for the volume of a sphere is 4/3πr3.
Working out areas and volumes of circles and spheres respectively
The ratio of the volumes of two similar spheres is the cube of the ratio of their radii. If the ratio of their radii is 59:1, then the ratio of their volumes is ( 59^3:1^3 ), which is ( 205379:1 ). Thus, the volume ratio of the two spheres is 205379:1.
The type of mathematics that deals with spheres and cylinders is known as geometry, specifically solid geometry. This branch of mathematics focuses on the properties and relationships of three-dimensional shapes, including their volumes, surface areas, and spatial relationships. Solid geometry allows for the exploration of various geometric forms and their applications in real-world contexts.
The relationship between the surface areas of cylinders, cones, and spheres is that the surface area of a cylinder is equal to the sum of the areas of its two circular bases and its curved surface area, the surface area of a cone is equal to the sum of the area of its circular base and its curved surface area, and the surface area of a sphere is equal to four times the area of its circular base.
The volume ( V ) of a sphere is given by the formula ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius. If the ratio of the radii of two spheres is 58, then the ratio of their volumes is given by ( \left(\frac{r_1}{r_2}\right)^3 = 58^3 ). Therefore, the ratio of the volumes of the two spheres is ( 58^3 ), which equals 195112.
Working out areas and volumes of circles and spheres respectively
Two spheres that are congruent are the same size and shape. Therefore, they would have the same surface area. So this statement is always true.
The ratio of the volumes of two similar spheres is the cube of the ratio of their radii. If the ratio of their radii is 59:1, then the ratio of their volumes is ( 59^3:1^3 ), which is ( 205379:1 ). Thus, the volume ratio of the two spheres is 205379:1.
The type of mathematics that deals with spheres and cylinders is known as geometry, specifically solid geometry. This branch of mathematics focuses on the properties and relationships of three-dimensional shapes, including their volumes, surface areas, and spatial relationships. Solid geometry allows for the exploration of various geometric forms and their applications in real-world contexts.
The relationship between the surface areas of cylinders, cones, and spheres is that the surface area of a cylinder is equal to the sum of the areas of its two circular bases and its curved surface area, the surface area of a cone is equal to the sum of the area of its circular base and its curved surface area, and the surface area of a sphere is equal to four times the area of its circular base.
Volume of a sphere of radius r: V = 4pi/3 x r3 If the ratio of the radii of two spheres is 23,then the ratio of their volumes will be 233 = 1,2167
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
The answer to the question depends on whether you want to calculate the surface areas or the volumes, or some other measure.
The volume ( V ) of a sphere is given by the formula ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius. If the ratio of the radii of two spheres is 58, then the ratio of their volumes is given by ( \left(\frac{r_1}{r_2}\right)^3 = 58^3 ). Therefore, the ratio of the volumes of the two spheres is ( 58^3 ), which equals 195112.
729/8
Volumes are storage areas, such as partitions and disks.
It is 8 : 343.