The local deli sells cheese Wheel. Each wheel is a cylinder. The height of the cheese wheel is 2.8 inches in the volume of the cheese wheel is 155.1 in.³ what is the radius of the cheese wheel?
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.
Substituting the given values, we get:
155.1 = πr²(2.8)
Simplifying, we can divide both sides by 2.8π:
155.1 / (2.8π) = r²
Solving for r, we can take the square root of both sides:
r = √(155.1 / (2.8π))
Using a calculator, we get:
r ≈ 4.22
So the radius of the cheese wheel is approximately 4.22 inches.
To find the radius of a cylinder, we can use the formula for the volume of a cylinder and rearrange it to solve for the radius.
The formula for the volume of a cylinder is:
Volume = π * r² * h
Given information:
Height (h) = 2.8 inches
Volume = 155.1 in³
Now we can rearrange the formula to solve for the radius (r):
r² = Volume / (π * h)
r² = 155.1 / (π * 2.8)
To find the radius, we can take the square root of both sides:
r = √(155.1 / (π * 2.8))
Using a calculator, we can calculate the value:
r ≈ √17.5
r ≈ 4.183
Therefore, the radius of the cheese wheel is approximately 4.183 inches.
To find the radius of the cheese wheel, we can use the formula for the volume of a cylinder:
Volume = π * radius² * height
Given that the volume is 155.1 in³ and the height is 2.8 inches, we can rearrange the formula to solve for the radius:
155.1 = π * radius² * 2.8
To isolate the radius, we divide both sides of the equation by (π * 2.8):
155.1 / (π * 2.8) = radius²
Now, let's calculate this:
radius² = 155.1 / (π * 2.8)
radius² ≈ 17.530454521654033
Taking the square root of both sides to get the radius:
radius ≈ √(17.530454521654033)
radius ≈ 4.189825931494598
So, the radius of the cheese wheel is approximately 4.19 inches.