Sphere volume equation

Why is sphere volume formula?

The volume V of a sphere is four-thirds times pi times the radius cubed. The volume of a hemisphere is one-half the volume of the related sphere. Note : The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.

How do you find the surface area and volume of a sphere?

Sphere Formulas in terms of radius r:Volume of a sphere: V = (4/3)πr. Circumference of a sphere: C = 2πr.Surface area of a sphere: A = 4πr.

Why is there a 4 3 in the volume of a sphere?

Since the cylinder/cone and hemisphere have the same height, by Cavalieri’s Principle the volumes of the two are equal. Thus the sphere of radius R has volume 43πR3.

What is the the formula for volume?

Perimeter, Area, and Volume

Table 3. Volume Formulas
ShapeFormulaVariables
Right Rectangular PrismV=LWHL is the length, W is the width and H is the height.
Prism or CylinderV=AhA is the area of the base, h is the height.
Pyramid or ConeV=13AhA is the area of the base, h is the height.

What is the area and volume of a sphere?

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 4 3 π r 3 frac{4}{3} pi r^3 34πr3 and a surface area of 4 π r 2 4 pi r^2 4πr2.

What is TSA of sphere?

The surface area of a sphere is defined as the region covered by its outer surface in three-dimensional space. A Sphere is a three-dimensional solid having a round shape, just like a circle. The formula of total surface area of a sphere in terms of pi (π) is given by: Surface area = 4 π r2 square units.

What is area and volume of cylinder?

VOLUME OF A CYLINDER is the area of the top times the height. The area of the top is given by the formula for the area of a circle (π r2). So the total volume = h(π r2).

How do you calculate the volume of a sphere without a calculator?

Use the circumference formula (C=2πr) and rearrange it to solve for the radius (r=C/2π). Once you have the radius (r), you can use that value in the volume of a sphere formula (V = 4/3πr³).

What is the volume of a 4 inch sphere?

Volume of a 4 Inch Sphere

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268.08cubic inches
0.0043931cubic meters
4,393.1cubic centimeters
4.3931liters
1.1605gallons

What is radius of sphere?

The radius of a sphere (abbreviated as the variable r or R) is the distance from the exact center of the sphere to a point on the outside edge of that sphere.

Is volume cubed?

Volume is measured in “cubic” units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed.

How many faces does a sphere have?

A face is a flat or curved surface on a 3D shape. For example a cube has six faces, a cylinder has three and a sphere has just one.

What is the SI unit of volume?

In the International System of Units (SI), the standard unit of volume is the cubic metre (m3). The metric system also includes the litre (L) as a unit of volume, where one litre is the volume of a 10-centimetre cube.

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