(c) Using the volume of a silver atom and the formula for the volume of a sphere, calculate the radius in angstroms of a silver atom.

Video transcript

Hi everyone today we have a question asking us to calculate the radius of a Melinda Madam Adam and Angstrom using its volume 9.4 times 10 to the negative 23rd centimeters cubed. And the formula for the volume of a sphere. So we're going to start out with the formula for the volume of a sphere which is volume equals four thirds times pi times radius cube. And now we're going to plug in what we know. So we know that its volume is 9. Times 10 to the negative 23 and that's in centimeters cube And that equals 4/3 times pi times are cubed. Now we need to isolate our radius cubed. So R cubed is going to equal 9.4 Times 10 to the negative centimeters cubed over four thirds times pi. And when we saw that we get our cube Equals 2. Times 10 to the negative 23 centimeters cubed. Now we need to get rid of r cubed which gives us our equals 2.82 Times 10 to the negative eight cm. Now that we have our radius, we want to change it to angstrom. So we have 2.82 Times 10 to the -8 centimeters. And we're going to multiply that by our conversion factor. So one angstrom over 10 to the negative eight cm And that equals 2.82 extremes and that is our final answer. Thank you for watching. Bye