Beer cans are right circular cylinders. My algebraic ale and logarithmic lager cans, from snide brewery, have dimensional units called brewskis. The have a volume (in cubic brewskis) equal to the solution of the number of grams of radium 226 remaining after 4860 years when the original sample contained 648 pi grams. The height divided by the radius of my beer can is equal to the solution of: log6 W + log6 (w+9)=2. Do not round pi while finding the surface area of my beer can.
To find the answer, we need to follow a few steps:
Step 1: Calculate the volume of the beer can.
The volume of a right circular cylinder is given by the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
Step 2: Find the number of grams of radium 226 remaining after 4860 years.
If the original sample contained 648π grams, we'll need to determine the remaining amount of radium 226 after 4860 years. This likely requires knowledge of the half-life of radium 226, which is necessary to calculate the decay over time.
Step 3: Divide the height by the radius.
Divide the height of the beer can by the radius to calculate the ratio. This will give us the value that we'll use to solve the equation.
Step 4: Solve the equation log6 W + log6 (w+9) = 2.
By using logarithmic properties (specifically, the product rule), we can rewrite the equation as a single logarithm: log6(W(w+9)) = 2. Then, convert it to exponential form and solve for the variable W(w+9).
Step 5: Calculate the surface area of the beer can.
The surface area of a right circular cylinder is given by the formula A = 2πrh + 2πr^2. Plug in the values calculated earlier to find the surface area.
Keep in mind that without additional information about the specific values (such as the half-life of radium 226), it's impossible to provide a numerical answer.