The height of the cylinder is 10 centimeters. The circumference of the base of the cylinder is 8pi centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?
C = 2πr
2πr = 8π
r = 4
V = π r^2 h = π(16)(10) = 160π = ...
Don't know what values you were given
To find the volume of a cylinder, you need to multiply the area of the base by the height.
Given that the circumference of the base is 8π centimeters, we can find the radius of the base by dividing the circumference by 2π.
Circumference = 2πr
8π = 2πr
r = 4 centimeters
The area of the base is given by the formula for the area of a circle, which is πr^2.
Area = πr^2
Area = π(4^2)
Area = 16π square centimeters
Now, we can find the volume of the cylinder by multiplying the area of the base by the height.
Volume = Area x height
Volume = 16π x 10
Volume = 160π cubic centimeters
Therefore, the closest measurement of the volume of the cylinder is 160π cubic centimeters.
To find the volume of a cylinder, you need to multiply the area of the base by the height. The formula for the volume of a cylinder is:
Volume = πr^2h
where π is approximately 3.14, r is the radius of the base, and h is the height of the cylinder.
In this case, we are given the circumference of the base, which is 8π centimeters. The formula for the circumference of a circle is:
Circumference = 2πr
We can solve this equation to find the radius:
8π = 2πr
Dividing both sides by 2π, we get:
4 = r
So, the radius of the base is 4 centimeters.
Now, we can plug the values into the formula for the volume of a cylinder:
Volume = π(4^2)10
Calculating this, we find:
Volume ≈ 3.14(16)(10)
Volume ≈ 502.4 cubic centimeters
Therefore, the measurement closest to the volume of the cylinder is 502.4 cubic centimeters.