The volume of a cylinder is 157 cubic inches. The base of the cylinder has a diameter of 5 inches. What is the height of the cylinder? Round to the nearest tenth of an inch.
Yes. The height is 8 units.
V=π*r^2*h
Plug in the numbers.
I'll be glad to check your answer.
137.4??
No.
The height can't be 137.4
Thank you! :)
You're welcome.
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
where π is a constant approximately equal to 3.14159, r is the radius of the cylinder's base (which is half of the diameter), and h is the height of the cylinder.
First, let's find the radius of the base of the cylinder:
Radius = diameter / 2
Given that the diameter is 5 inches, the radius is:
Radius = 5 / 2 = 2.5 inches
Now we can substitute the values into the volume formula:
157 = 3.14159 * (2.5)^2 * h
Simplifying the equation:
157 = 3.14159 * 6.25 * h
Multiply the numbers:
157 = 19.6349375 * h
To solve for h, divide both sides of the equation by 19.6349375:
157 / 19.6349375 = h
The height of the cylinder is approximately 7.9942 inches. Rounded to the nearest tenth, the height is 8.0 inches.