A plumber installs a pipe that has a diameter of 10 cm and a length of 2.4m, Calcualte the volume of water(in cm3) that the pipe will hold. Express your answer to the correct number of significant digits.
Note: The formula for the volume of a cylinder is V=Pi(r)2h, where r is the radius and h is the height or length
i think the answer will be 188.4 cm3
I don't think so. I believe you multiplied by 2.4m and not 240 cm. Also I don't think you rounded off to the right number of significant figures.
would the answer be 18840cm3
The digits are right but the number of s.f. is not. If I read the question properly when you take 1/2 of 10 to find radius that leaves you just one s.f. and one is all you can have in the answer. If that is 10.0 things would be different. If the 10 is correct I think the answer must be rounded to 2E4 cc.
To calculate the volume of water that the pipe will hold, we can use the formula for the volume of a cylinder: V = π(r^2)h. Here's how to do it step by step:
1. First, let's find the radius of the pipe. The diameter is given as 10 cm, and since the radius is half the diameter, we can calculate it by dividing the diameter by 2:
radius (r) = diameter / 2 = 10 cm / 2 = 5 cm.
2. Next, we need to convert the length of the pipe from meters to centimeters since the radius is in centimeters. We know that 1 meter is equal to 100 centimeters, so:
length (h) = 2.4 m * 100 cm/m = 240 cm.
3. Now, let's substitute the values we found for the radius and length into the volume formula:
V = π(5 cm)^2 * 240 cm = π(25 cm^2) * 240 cm.
4. Calculate the volume using the value of π, which is approximately 3.14159:
V ≈ 3.14159 * 25 cm^2 * 240 cm.
Evaluating the above expression, we get:
V ≈ 188,495.56 cm^3.
5. Finally, we express the answer to the correct number of significant digits. Since the given diameter has two significant digits (10 cm), and assuming that π has an infinite number of significant digits, we can round the volume to the same number of significant digits as the diameter:
V ≈ 188,500 cm^3 (rounded to 2 significant digits).
Therefore, the volume of water that the pipe will hold is approximately 188,500 cm^3, not 188.4 cm^3.