# Finding Mass of a Sphere

• Ripcurl
In summary, to find the mass of a sphere with a radius of 5.3 cm and a density of 8.15 g/cm3, you can use the formula Mass = density x volume, where the volume can be found by multiplying 4/3 x pi x radius^3. The resulting mass is 5082.458333 g.

## Homework Statement

A sphere of metal has a radius of 5.3 cm and a density of 8.15 g/cm3. What is the mass of the sphere? Answer in units of g.

## Homework Equations

Density=mass/volume

Volume of a sphere=4/3лr^3

## The Attempt at a Solution

I found the volume by multiplying 4/3 by л and 5.3 squared. I got 66.1850323. I plugged this into the formula for density, manipulated it to get mass by itself and got 539.4118513. This answer seems really unreasonable. I think I need to do some conversions but I'm not sure what to convert. I think I need to convert the radius to meters but the density is in grams/cm cubed and I need to answer in units of grams.

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Mass = density times volume

First, volume of a sphere is 4/3$\pi$r^3.

Next, don't convert anything you've been given the right units for what you've been asked for. Produce a volume for the sphere in terms of cm^3, then

$cm^3$ * $\frac{g.}{cm^3}$ = $g.$

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So you're saying find the volume. I got 623.6145193 cm^3. Then I multiply that by the density (8.15) to get the mass. I get 5082.458333. That doesn't seem right. XD

But it is. Wow. You're amazing! Thanks! XD

Remember that the equation of finding the mass of a sphere is

Mass = density times volume

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## 1. What is the formula for finding the mass of a sphere?

The formula for finding the mass of a sphere is: mass = density x volume.

## 2. How do you measure the density of a sphere?

The density of a sphere can be measured by dividing its mass by its volume.

## 3. What is the standard unit of mass for a sphere?

The standard unit of mass for a sphere is grams (g) or kilograms (kg), depending on the size of the sphere.

## 4. Can the mass of a sphere vary?

Yes, the mass of a sphere can vary depending on its composition, size, and density.

## 5. How does the mass of a sphere affect its gravitational pull?

The mass of a sphere directly affects its gravitational pull. The greater the mass, the stronger the gravitational pull will be.