What is the height of the cylinder? The figure is not drawn to scale.
a cylinder the top is circle with length of 7 in. V = 323.5 in^5
(1 point)
Responses
14.7 in
14.7 in
6.6 in
6.6 in
2.1 in
2.1 in
4.2 in
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 of the base (which is half the length of the top circle), and h is the height of the cylinder.
Given that the length of the top circle is 7 in, the radius would be half of that, which is 7/2 = 3.5 in.
Plugging the values into the formula, we have:
323.5 = π(3.5)²h
To solve for h, we can rearrange the equation:
h = 323.5 / (π(3.5)²)
Using a calculator to approximate π, we get:
h ≈ 4.21 in
Therefore, the height of the cylinder is approximately 4.21 inches.