Why is the volume of a sphere 4 3?

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.

How do you find the volume of a sphere given the circumference?

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.

What is the volume formula?

Perimeter, Area, and Volume

Table 3. Volume Formulas
Shape Formula Variables
Cube V=s3 s is the length of the side.
Right Rectangular Prism V=LWH L is the length, W is the width and H is the height.
Prism or Cylinder V=Ah A is the area of the base, h is the height.

What is a formula of cylinder?

Solution. The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .

What is the volume of a 6 inch sphere?

What is the volume of a sphere with a radius of 6 in?Volume of a 6 Inch Sphere.

904.78 cubic inches
14.827 liters
3.9168 gallons

What is the volume of a 2 inch sphere?

What is the volume of a sphere with a radius of 2 in?Volume of a 2 Inch Sphere.

33.510 cubic inches
0.14507 gallons

What is the diameter of a sphere?

The diameter of a sphere is the maximum distance between two antipodal points on the surface of the sphere. If is the radius of a circle or sphere, then .

How do you calculate area and 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 you refer to the different dimensions does not change the calculation: you may, for example, use ‘depth’ instead of ‘height’.

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).

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 volume in physics?

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre.

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