Final answer:
To find the radius of a cone using its volume, multiply the volume by 3, divide by pi and height, and then take the square root of the result, making sure to use approximately 3.14 for pi and round off to the proper number of significant figures.
Step-by-step explanation:
To find the radius (r) of a cone when given the volume (V), we can use the formula V = 1/3 π squared h, where V is the volume, r is the radius, and h is the height of the cone. To solve for r, we need to rearrange the formula:
- Multiply both sides of the equation by 3 to get rid of the fraction: 3V = π r2 h.
- Next, divide both sides by π and h to isolate r2: r2 = (3V) / (π h).
- Finally, take the square root of both sides to solve for r: r = √[(3V) / (π h)].
Keep in mind that the value of π (pi) is approximately 3.14. When dealing with significant figures, round your final answer appropriately based on the precision of your given measurements.