Volume

How to Find the Volume of a Sphere

How to Find the Volume of a Sphere

The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere.

  1. Why is 4/3 used in the volume of a sphere?
  2. What is the volume of a 7 cm sphere?
  3. What is the formula of volume?
  4. How do I find the volume?
  5. How do you find the surface area and volume of a sphere?
  6. What is the volume of a hemisphere?
  7. What is TSA of sphere?

Why is 4/3 used 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 volume of a 7 cm sphere?

Well, the volume of a sphere is given by 4/3*pi*r^3. Setting r = 7, we get 4/3*pi*7^3 = 1436.75 ~= 1437 cm^3.

What is the formula of volume?

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

How do I find the volume?

In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

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

Sphere Formulas in terms of radius r:

  1. Volume of a sphere: V = (4/3)πr. ...
  2. Circumference of a sphere: C = 2πr.
  3. Surface area of a sphere: A = 4πr.

What is the volume of a hemisphere?

The volume of a hemisphere = (2/3)πr3 cubic units. Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

What is TSA of sphere?

Surface area (TSA) = CSA = 4πr 2. Hemisphere : Curved surface area(CSA) = 2 π r 2. Total surface area = TSA = 3 π r 2.

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