A can of soda has a volume of 402 mL. The area of a circle is given as A = r², where r is the radius of the circle; the volume of the can is given by V = ( r²)h, where h is the height of the can. If a particular can has a height of 10.8 cm, what is the radius of the can? A) 3.44 mm B) 3.44 cm C) 11.85 cm D) 6.88 cm

Question

Quizplus · Accepted Answer

Given the volume $V = 402$ mL (which is equivalent to $402$ cm$^3$ since $1$ mL = $1$ cm$^3$), and the height $h = 10.8$ cm, we can solve for the radius $r$ using the formula for the volume of a cylinder $V = \pi r^2 h$. Rearranging for $r$, we get $r = \sqrt{\frac{V}{\pi h}}$. Substituting the given values, $r = \sqrt{\frac{402}{\pi \times 10.8}}$, which calculates to approximately $3.44$ cm.

A Can of Soda Has a Volume of 402 ML