A can of soda has a volume of 35.325 cubic inches and a height of 5 inches. What is the radius of this can.
V=πr^2h
35.325 = 3.14 * r^2 * 5
35.325 = 15.7 * r^2
35.325 / 15.7 = r^2
2.25 = r^2
1.5 = r
To find the radius of the can, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
In this case, we know the volume and the height, so we can rearrange the formula to solve for the radius. Let's do that:
35.325 = π * radius^2 * 5
First, let's divide both sides of the equation by 5:
7.065 = π * radius^2
Next, let's divide both sides by π:
7.065 / π = radius^2
To solve for the radius, we need to take the square root of both sides:
√(7.065 / π) = radius
Using a calculator, we can find the approximate value of the radius:
radius ≈ √(7.065 / 3.14159) ≈ √2.25 ≈ 1.5 inches
Therefore, the radius of the can of soda is approximately 1.5 inches.