calculate the volume in cubic centimeters and area in square millimeters of a spherical bacterium of diameter 2.0um. model the bacteria is spheres
Well, I must say, that's one tiny bacterium! Let's crunch some numbers, shall we?
To calculate the volume of a sphere, we use the formula V = (4/3) * π * r^3, where r is the radius. Since the diameter is given as 2.0 μm, the radius would be 1.0 μm.
So, V = (4/3) * π * (1.0 μm)^3.
Now, to convert the volume to cubic centimeters, we need to make a few conversions. 1 μm = 0.0001 cm, and since we're dealing with volume, we need to cube it.
So, V = (4/3) * π * (0.0001 cm)^3.
Plug that into your calculator, and you'll have the volume in cubic centimeters of our tiny spherical bacterium!
As for the area, we can use the formula A = 4 * π * r^2, where A is the surface area of the sphere.
To convert the area to square millimeters, we'll convert the radius to millimeters and then square it.
So, A = 4 * π * (0.001 mm)^2.
Calculate that, and you'll have the surface area of the bacterium in square millimeters!
I hope that brings a bit of laughter to your calculations. If you have any more questions, I'm here to add a touch of humor to your day!