what does this mean?

Question

V = (4 Pi/3)r3 = (Pi/6)d3 < this is the formula for the volume of a sphere. i dont understand it

Answer 1

In plain English, this formula means that you can calculate the volume of a sphere by multiplying 4/3 * pi * the radius cubed.

The most sensible way to do this on a calculator is this order:
1. Cube the radius. Do this by using the x^3 button on a scientific calculator. If you have a simple calculator, multiply the radius times the radius times the radius. Keep this answer on the calculator or write it down.
2. Multiply the first answer by 4. Keep this answer on the calculator or write it down.
3. Multiply that number by pi. If you have a pi key on the calculator, use it. If you don't have a pi key, use 3.14 as the value for pi. Keep the answer on the calculator or write it down.
4. Divide that number by 3. This answer is the volume of the sphere. The units are something cubed (inches cubed, mm cubed, ...)

Try using this method when the radius is 5 cm.
1. 5 * 5 * 5 = 125
2. 125 * 4 = 600
3. 600 * 3.14 = 1884
4. 1884/3 = 628 cm^3

Answer 2

V = (4*Pi/3)r^3
where V is the volume, Pi is the well known constant 3.1415...,
and r is the radius of the sphere (the distance from the center of the sphere to the surface).
cube the radius and multiply by 4 and multiply by Pi and divide by 3

the other form expresses the equation using the diameter instead of the radius. the diameter equals twice the radius (d=2r, or written the other way r=d/2). Substitute d/2 for r in the first equation and simplify:
V = (4Pi/3)r^3 = (4Pi/3)(d/2)^3 = (4Pi/3)(d^3)/8 = (Pi/6)d^3

Answer 3

V = 4 (pi/3) r^3 = (pi/6) d^3

If you're given the radius of a sphere, you can obtain the volume by plugging r into the formula V = 4 (pi/3) r^3.

Answer 4

there is no method to find the volume of a sphere except this one.


in this formula pi is the mazor factor except this we can understand all the other parameters which are present in the formula.

It can be dedicated to the persons who studied this topic and discovered pi, which is help full in finding the areas of conics.

tammi has proved the theorem given by you.

Answer 5

Yes it is the formula for the volume of a sphere.
v=(4/3)π r^3 where r is the radius of the sphere. since r=d/2, the formula can aslo be
V=(4/3)π (d/2)^3=(4/3)πd^3/8
V=(4/3*8)πd^3=(1/6)πd^3

Answer 6

Volume is equal to four times pi divided by three all multiplied by the radius cubed which is also equal to pi divided by six all multiplied by the diameter cubed.