what is the height of the cylinder? the figure is not drawn to scale.
volume= 271.4 in^3
radius= 6 in
a) 2.4 in
b) 7.2 in
c) 14.4 in
d) 4.8 in
We can use the formula for the volume of a cylinder:
V = πr^2h
Plugging in the given values, we get:
271.4 = π(6^2)h
Simplifying:
271.4 = 36πh
h = 271.4 / (36π)
h ≈ 2.4
Therefore, the height of the cylinder is approximately 2.4 inches.
Answer: a) 2.4 in
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Given:
Volume = 271.4 in^3
Radius = 6 in
Let's substitute these values into the formula and solve for the height:
271.4 = π * 6^2 * height
Simplifying the equation:
271.4 = 36π * height
Divide both sides of the equation by 36π:
271.4 / (36π) = height
Using a calculator:
height ≈ 2.4 inches
Thus, the height of the cylinder is approximately 2.4 inches.
Answer: a) 2.4 in
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 3.14), r is the radius of the base of the cylinder, and h is the height of the cylinder.
Given the volume of the cylinder as 271.4 in^3 and the radius as 6 in, we can rearrange the formula to solve for h:
h = Volume / (π * r^2).
Plugging in the values, we have:
h = 271.4 / (3.14 * 6^2)
h = 271.4 / (3.14 * 36)
h ≈ 271.4 / 113.04
h ≈ 2.4 inches.
Therefore, the height of the cylinder is approximately 2.4 inches.
So, the correct answer is (a) 2.4 in.