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How do you calculate the density of a sphere?

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How do you calculate the density of a sphere?

Density of a Sphere Calculator

  1. Formula. D = m / (4/3*pi*r^3)
  2. Mass.
  3. Radius.

What is the formula for density?

density, mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume. Density is commonly expressed in units of grams per cubic centimetre.

How do you find the density of a hollow sphere?

Alternatively, δV= surface area of the hollow sphere× its thickness. We know that the density of this hollow sphere is f(r), so the mass of the hollow sphere is 4πr2f(r)δr.

How do you find the density of an object experiment?

Method

  1. Use a ruler to measure the length (l), width (w) and height (h) of the object.
  2. Place the object on the top pan balance and measure its mass.
  3. Calculate the volume of the cube using ( l × w × h ).
  4. Use the measurements to calculate the density of the object.

What is the volume of this sphere?

Volume of a sphere: V = (4/3)πr.

What is diameter of sphere?

The formulas that can be used to find the radius and diameter are given below, Formula for radius, r of sphere using Volume, V = (4/3) π r3. Formula for diameter, d of sphere using Volume, V = (πd3)/6.

What is the formula for volume of hollow sphere?

To determine the volume of a sphere, we use the formula 4/3πr^3. So, to find the volume of a hollow sphere, we must subtract the volume of the hollow region from the volume of the overall sphere. Let’s call the radius of the overall sphere r1 and the radius of the hollowed region r2. Thus, we get 4/3π*r1^3 – 4/3π*r2^3.

How do you get density of a sphere?

Density (ρ) is defined as mass (m) per unit volume (V): ρ =m/V. To calculate the density of a sphere, determine its mass, then measure its radius and use the expression (4/3)πr^3 to find its volume. In practice, it’s usually easier to measure diameter (d) and use the expression V = (1/6)πd^3.

How do you calculate the mass of a sphere?

To calculate the mass of a sphere, you must know the size (volume) of the sphere and its density. You might calculate volume using the sphere’s radius, circumference or diameter. You can also submerge the sphere in water to find its volume by displacement. Once you know the volume, you can multiply by the density to find the mass.

How do you calculate a sphere?

Sphere size is calculated using two measures: the volume (how much space the sphere takes up) and the surface area (the total area of the sphere’s surface). Both sphere size and surface area can be easily calculated if you know the radius or diameter of the sphere. The formula for volume is 4/3 times pi times the radius cubed, or 4/3πr^3.

What is the approximate volume of the sphere?

Main Concept. The volume of a sphere can be approximated by cylinders. As the number of cylinders approaches infinity the total volume of all the cylinder approaches the actual volume of the sphere. Using integration, the exact volume of the sphere can be found. The exact volume of a sphere is 43⋅π⋅ r3, where r is the radius.