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.
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
1 answer