find the volume to surface area ratio for a cylinder use 1.7 as the radius and 3 for the height show your calucations
anyone help please
anyone please help Ms.sue please help
To find the volume-to-surface area ratio for a cylinder, we first need to calculate the volume and surface area of the cylinder using the given radius and height. Then we can simply divide the volume by the surface area to obtain the ratio.
1. Calculate the volume of the cylinder:
The formula for the volume of a cylinder is V = πr²h, where V represents the volume, r is the radius, and h is the height.
Plugging in the given values:
V = π(1.7²)(3)
V ≈ 28.7
So, the volume of the cylinder is approximately 28.7 cubic units.
2. Calculate the surface area of the cylinder:
The formula for the surface area of a cylinder is A = 2πrh + 2πr², where A represents the surface area.
Plugging in the given values:
A = 2π(1.7)(3) + 2π(1.7²)
A ≈ 50.8
So, the surface area of the cylinder is approximately 50.8 square units.
3. Calculate the volume-to-surface area ratio:
To find the ratio, simply divide the volume by the surface area.
Ratio = V / A
Ratio = 28.7 / 50.8
Ratio ≈ 0.565
Therefore, the volume-to-surface area ratio for the given cylinder is approximately 0.565.