IDNLearn.com connects you with experts who provide accurate and reliable answers. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.
Sagot :
Answer:
[tex]h=12.9cm[/tex]
Explanation:
Hello!
In this case, since we can consider the beaker until the 100-mL mark as a cylinder, we can use the following equation to relate its diameter, vertical distance or height and volume:
[tex]V=\pi h\frac{d^2}{4}[/tex]
Thus, since we know the diameter, volume (which is equivalent to 600 cm³) and π, we can plug in to obtain:
[tex]600cm^3=\pi *h*\frac{(77.0mm)^2}{4}[/tex]
It means it is necessary to take the mm to cm and solve for h:
[tex]h=\frac{600cm^3}{\pi*\frac{(7.70cm)^2}{4}} \\\\h=12.9cm[/tex]
Best regards!
The distance between each 100 mL mark is 2.15 cm.
The volume of a cylinder is obtained using the formula;
V = πr^2h
Now, we have the following information;
Volume of the cylinder = 600. mL or 600 cm^3
Diameter of the cylinder = 77 mm or 7.7 cm
Radius of the cylinder = 7.7/2 = 3.85 cm
Height of the cylinder = h
Hence;
600 = 3.142 × ( 3.85 )^2 × h
h = 600/3.142 × ( 3.85 )^2
h = 12.88 cm
There are six 100 mL marks on the beaker, the distance between each 100 mL mark = 12.88 cm/6 = 2.15 cm
Learn more about volume: https://brainly.com/question/12748872
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.