Table of Contents
Can a sphere have the same surface area and volume?
Area = 4 × π × r2 square units. So, your question really has no meaning: By choosing units appropriately, every sphere will have the same numerical value for its volume and surface area!
How do you find the surface area of a similar sphere?
The steps to calculate the surface area of a sphere is:
- Step 1: Know the radius of the sphere.
- Step 2: Take the square of the radius by multiplying it by itself.
- Step 3: Multiply r2 by 4.
- Step 4: Multiply the value of 4r2 by the approximate value of pi, that is, 3.14.
- Step 5: At last, add the units to the final answer.
Why does a sphere have only one surface area?
As you can see the shape of a sphere has the lowest possible surface area to volume ratio and therefor requires the least energy to maintain its shape. The minimization of energy cost is usually what drives the physical world, hence natural objects like bubbles and raindrops tend to a spherical shape.
How many surface does a sphere have?
A sphere is a three-dimensional round-shaped object. Unlike other three-dimensional shapes, a sphere does not have any vertices or edges. All the points on the surface of the sphere are equidistant from its center….Sphere.
| 1. | Sphere Definition |
|---|---|
| 5. | Surface Area of Sphere |
| 6. | Volume of a Sphere |
| 7. | FAQs on Sphere |
Can the surface area of a sphere be larger than the volume?
The surface area can never be greater than the volume of any shape. Neither can the volume ever be greater than the surface area.
Does a sphere have less surface area than a cube?
The surface area to volume ratio for a cube is therefore 6 to 1 (6:1). Of all the regular shapes a sphere has the lowest possible surface area to volume ratio.
What is πr2?
The area of a circle is given by the following formula: A=πr2 where r is the radius of the circle. What is a radius? It’s the distance from the center of the circle to any point on the edge of the circle.
What is the base of a sphere?
A right cone is a cone with its vertex directly above the center of its base. has a circular base that is joined to a single point (called the vertex). A sphere is a three-dimensional solid consisting of all points that have the same distance from a given center….Surface Area of a Cone.
| s 2 | = | + × π |
|---|---|---|
| s | = | + × |
Does a sphere minimize surface area?
The sphere is perfectly symmetrical, and has the smallest ratio of surface area to volume of any three-dimensional shape. In other words, for any given volume, the smallest surface area able to completely enclose that volume is a sphere….The Sphere.
| Author: | Christopher J. Wells |
|---|---|
| Accessed: | 26-11-2021 |
Do spheres have edges?
Edges. An edge is where two faces meet. For example a cube has 12 edges, a cylinder has two and a sphere has none.
How do you find the surface area of a 2*n sphere?
Each of the 2*N pieces will have equal surface area. Another way is to divide the sphere into N partial sectors of equal width, like chopping the ends off of a sphere and then dividing the rest into N equal partial sectors.
What is the shape of a sphere?
A sphere is a perfectly round geometrical 3-dimensional object. It can be characterized as the set of all points located distance \\(r\\) (radius) away from a given point (center). It is perfectly symmetrical, and has no edges or vertices. A sphere with radius \\(r\\) has a volume of \\( \\frac{4}{3} \\pi r^3 \\) and a surface area of \\( 4 \\pi r^2 \\).
What is the volume of a sphere with radius r?
A sphere with radius r has a volume of 34πr3 and a surface area of 4πr2. A sphere has several interesting properties, one of which is that, of all shapes with the same surface area, the sphere has the largest volume.
How do you divide a sphere into half segments?
2 Comments. There are different ways to do this. One of the ways is to divide the sphere into N sectors of equal width, like segments of an orange. Each of the N pieces will have equal surface area. Another way is to divide the sphere into N sectors of equal width, and then to divide along the equator, so that each will be a half-segment.