Question

a cylinder has a diameter of 14 centimeters and a volume of 112 pi cubic centimeters. What is the height, in centimeters, of the cylinder

Answer 1

To find the height of the cylinder, we use the formula for the volume and solve for the height.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder.

Given that the diameter of the cylinder is 14 cm, we can find the radius by dividing the diameter by 2: r = 14 cm / 2 = 7 cm.

Substituting the given volume of 112π cubic cm and the radius of 7 cm into the formula, we can solve for the height: 112π = π*(7 cm)²*h. Simplifying, we get h = 112 cm³ / (49π) ≈ 2.28 cm.

Therefore, the height of the cylinder is approximately 2.28 cm.

A cylinder has one curved surface and two flat faces which are identical.

The two circular bases are congruent to each other.

Its size depends on the radius of the base and the height of the curved surface.

Unlike a cone, cube, or cuboid, a cylinder does not have any vertex.

Answer 2

Diameter of the cylinder = 14 centimeters
Radius of the cylinder = (14/2) centimeters
= 7 centimeters
Volume of the cylinder = 112 π cubic centimeters.
Let us assume the height of the cylinder = h
Then
Volume of the cylinder = π (Radius)^2 h
112π = π * (7)^2 * h
Dividing both sides with π, we get
112 = 49 h
h = 112/49
= 2.285 centimeters
So the height of the cylinder in question is 2.285 centimeters.