Density of a sphere formula Calculate the surface charge density of the sphere whose charge is 12 C and radius is 9 cm. That's it! You can also use a combined formula right away: mass/density = (4/3) × π × r 3 Dec 21, 2020 · 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. The calculator computes the a sphere (ρ) based on the radius (r) of the sphere and the mass (M). The formula for the volume of a sphere is given by: V = (4/3)πr 3. Use the following formula to calculate the uncertainty in the density: Density of Sphere Formula: Density signifies the mass of an object per unit volume, typically measured in kilograms per cubic meter. What is the density of the bowling ball? Give your answer to the nearest kilogram per cubic meter. Aug 29, 2024 · Knowing radius, you can count the volume of a sphere with the equation volume = (4/3) × π × r3. (Use the correct number of significant figures. 78 ± 0. Example Calculation The sphere has a volume charge density of? Solution: We are given, The charge in the sphere, Q=−260e. 14159 × 0. If you wish to calculate the terminal velocity, enter the fluid's viscosity. Mass of solid sphere formula is defined as the 4/3 times of product of π, density of sphere, and cube of the radius of the sphere is calculated using Mass of Solid Sphere = 4/3*pi*Density*Radius of Sphere^3. Using the formula: Density = 5 / [(4/3) × 3. In Standard Form. To calculate the density of a sphere, first, calculate the volume, then divide the mass by the calculated volume. If the fluid's viscosity is what you seek, you must provide the terminal velocity of the sphere. Where: V is the Surface charge density formula is given by, σ = q / A = 5 / 10. Sphere Density Calculator - making density calculations spherical and fun! Sep 2, 2012 · The radius of a solid sphere is measured to be (6. For a sphere, it reflects how much mass is packed into the spherical volume. Solution: Given: Charge q = 12 C, Radius r = 9 cm. The formula for the mass of the sphere is given by: Mass = Density × Volume. Aug 3, 2023 · Now let us learn about the equation of a sphere. 26) cm, and its mass is measured to be (1. Provide the density and diameter of the sphere. The conductors of different shapes have different surface areas and hence they have different equations of surface charge density. 08) kg. Feb 14, 2010 · A radius of a sphere is measured to be (6. ) The Attempt at a Oct 3, 2024 · Formula. Equation . : The Density of the Sphere (ρ) is returned in kilograms per cubic meter. Substituting the values in the terminal velocity The electric field of a sphere of uniform charge density and total charge charge Q can be obtained by applying Gauss' law. The calculator will determine the remaining unknown using the data provided. Increases in temperature tend to decrease density since the volume will generally increase. ALSO NEW: Default density has been updated to 7,850 kg/m3 for density of steel. 3. The surface charge density formula is given by, σ = q / A. The following article is a fascinating read where you can learn the density formula and how density determines whether an object floats or sinks in water. Considering a Gaussian surface in the form of a sphere at radius r > R , the electric field has the same magnitude at every point of the surface and is directed outward. Calculate and record an average value of the density measurements. Once you have the volume, look up the density for the material the sphere is made out of and convert the density so the units are the same in both the density and volume. Calculate density for solid, hollow, and composite spheres, explore FAQs, and roll through the science of spheres. The volume charge density of the sphere is: ρ A bowling ball has a mass of 5. Calculate the volume of a sphere with the formula volume = mass/density. NEW: Default units have been updated to millimeters. A metal sphere has a mass of 5 kg and a radius of 0. (The density of liquid is 1000 𝑘𝑔/𝑚 3 and g is 10 m/s 2. Use the formula 𝐷=𝑚/(43𝜋𝑟3) to find density using mass and radius. Dec 5, 2024 · The following equation is used to calculate the density of a sphere. The density of the sphere is 𝜌 s = 8050 kg/m 3 The density of the liquid is 𝜌 s = 1000 kg/m 3 The terminal velocity is 4 m/s. The formula to calculate the density (D) of a sphere is: \[ D = \frac{m}{\frac{4}{3}\pi r^3} \] Where: \( D \) is the density \( m \) is the total mass \( r \) is the radius Dec 29, 2024 · Calculate the density of a sphere with the Density of a Sphere Calculator. Select metals in the material category and iron in the materials list. For a sphere, area A = 4 π r 2. An increase in pressure decreases volume, and always increases density. 70 103 kg, and Aug 22, 2024 · In other words, the mass of the sphere is defined by the multiplication of the volume of the sphere and density of the sphere. Homework Equations Use the following formula to calculate the uncertainty in the density: Δρ/ρ = Δm/m + 3Δr/r. ) Solution: The radius of the sphere is r = 0. 27) cm, and the mass is measured to be (1. You can also use a combined formula: mass = (4/3) × π × r3 × density. The bowling ball is a sphere with a radius of 7 cm. Volume Formula for Sphere . The density of a sphere is defined as the total mass per unit of volume of a spherical object. Therefore, σ = 0. With this in mind, let’s first calculate the radius of the ball bearing, using the density equation for a sphere. 05 m. However, this can be automatically converted to other density units via the pull-down menu. The calculator also returns the volume of the sphere (V) used in computing the density. Video advice: Density of Spheres. Here we’re going to explore the surface charge density formula for a sphere or spherical shell, a cylinder, and a capacitor. Density of Spheres 1. Determine the density of the sphere in kilograms per cubic meter and the uncertainty in the density. Mass of Sphere Formula. In this article, we'll go through the specific case of sphere density and how to calculate it. 5 C/m 2. When the center is at the origin (0, 0, 0), the The Mass or Weight of a Sphere calculator computes the mass or weight of a sphere based on the radius (r) and the mean density (ρ). This result indicates that the sphere has a density of approximately 1194 kg/m³, which is close to the Nov 21, 2022 · Enter the density of the medium (fluid). Let the viscosity of the liquid be 𝜂. Jul 9, 2021 · Calculate the density of the sphere using the equation above. Knowing that the volume of a sphere is defined with (4/3) × π × r 3, calculate the radius. With our tool, you need to enter the respective value Mar 5, 2022 · Then, the dimensional formula of volume charge density is [L-3 TI]. 14159 × (0. A = 4 May 15, 2021 · Formula for surface charge density of different conductors. The equation of a sphere can be written both in standard and general forms. Let’s start by rearranging the density equation for a sphere so that we can use it find the radius 𝑟. Keep reading to also learn: How to obtain the sphere density formula; How to find the radius of a sphere, given its Mar 10, 2025 · To calculate the mass of a sphere, start by finding the sphere's volume using the formula: V = 4 over 3 × πr cubed, where r is the radius of the sphere. 09) kg. Formula of Volume charge density of different conductors. . The radius of the sphere, r=1. Perfect for physics and material science applications! The density formula for a sphere, density = mass / ((4/3) × π × radius³), showcases the fascinating interplay between simple mathematical constants and geometric principles. Mar 10, 2025 · Example of Density of a Sphere Calculator. As the volume is different for the conductors of different shapes, we will get different formulae for the volume density of charge for different shapes. Example 2. However, when regarding gases, density is largely affected by temperature and pressure. 001] = 5 / 0. Breaking it down: Nov 5, 2022 · Density is one of the most important properties of matter. Dive into the world of sphere density with the Sphere Density Calculator. In practice, it's usually easier to measure diameter (d) and use the expression V = (1/6)πd^3. Calculate the percent variation in the density values. 85cm. 00 m3) of aluminum has a mass of 2. 00418879 ≈ 1194 kg/m³. One cubic meter (1. The formula to calculate the density of a sphere involves the volume of a sphere and its mass: \[ D = \frac{m}{\frac{4}{3}\pi r^3} \] where: \(D\) is the density in kilograms per cubic meter (kg/m³), \(m\) is the mass of the sphere in kilograms, \(r\) is the radius of the sphere in meters. 5 kg. There are exceptions however, such as water's density increasing between 0°C and 4°C. The equation of a sphere in standard form is written as: (x – h) 2 + (y – k) 2 + (z – l) 2 = r 2, here (h, k, l) = center, r = radius. 30 ± 0. It represents the amount of mass that is contained in a particular volume. On the other hand, if a sphere of radius \(R\) is charged so that the top half of the sphere has uniform charge density \(\rho_1\) and the bottom half has a uniform charge density \(\rho_2 \neq \rho_1\) then the sphere does not have spherical symmetry because the charge density depends on the direction (Figure \(\PageIndex{1b}\)). 81 ± 0. 1 meters. Say you want to find iron's density. 45 ± 0. To calculate Mass of Solid Sphere, you need Density (ρ) & Radius of Sphere (R s). The volume of a sphere: V= 4/3πr 3. Then, using the density formula density = mass/volume, you can count the mass by multiplying density and volume: mass = volume × density. Compare the average density of the spheres to the density of chrome, which is 7:8£ 103kg=m3, by calculating the percent difierence using your measured experimental The Weight of Metal Sphere or Ball calculator computes the mass or weight of a sphere shaped object such as a ball based on the diameter (D) and the mean density of the metal (ρ), where the default density is 7,850 kg/m3 for density of steel. How to calculate the density of a sphere? Formula. You can see that iron's density is 7,870 kg/m³. 1³)] = 5 / [(4/3) × 3. If Q is the total charge distributed over a volume V, then the volume charge density is given by the equation: ρ= Q/V. The density of a sphere is given by 𝜌 = 3 𝑀 4 𝜋 𝑟. 2. qtmn ryvgnz liic syrxfb mgpb dssydv ranb xgy gleq vwekl rkfl oocqw mtapxp jsqtlmn tkjhpi