you can buy a can of soup at the supermarket. The soup can is 15.7 cm tall in the volume of the Cannes is 749.8 cm³ what is the radius of the can?
To find the radius of the can, we need to 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.
We know that the height of the can is 15.7 cm and the volume is 749.8 cm³, so we can plug in those values and solve for r:
749.8 = πr²(15.7)
Divide both sides by π(15.7):
r² = 749.8 ÷ π(15.7)
r² = 15.1298
Take the square root of both sides:
r ≈ 3.89
So the radius of the can is approximately 3.89 cm.
To find the radius of the can, we need to use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h,
where r is the radius and h is the height of the cylinder.
In this case, we know that the height (h) of the can is 15.7 cm and the volume of the can (V) is 749.8 cm³.
Let's solve for the radius (r):
V = π * r^2 * h
749.8 = π * r^2 * 15.7
Dividing both sides of the equation by (π * 15.7):
r^2 = 749.8 / (π * 15.7)
r^2 ≈ 15.139
Taking the square root of both sides:
r ≈ √15.139
r ≈ 3.89 cm
Therefore, the radius of the soup can is approximately 3.89 cm.
To find the radius of the can, we can use the formula for the volume of a cylinder, which is given by:
V = πr²h,
where V represents the volume, r is the radius, and h is the height of the cylinder.
In this case, we are given that the height of the can is 15.7 cm and the volume is 749.8 cm³.
Substituting these values into the formula, we have:
749.8 = πr²(15.7).
To solve for the radius (r), we need to isolate it on one side of the equation.
First, divide both sides of the equation by π(15.7):
749.8 / (π × 15.7) = r².
Simplifying the right side gives:
r² ≈ 749.8 / 49.29.
Dividing these two values gives an approximate value for r²:
r² ≈ 15.2.
Finally, to find the radius (r), we take the square root of both sides:
r ≈ √15.2.
Evaluating the square root gives an approximate radius value:
r ≈ 3.89 cm.
Therefore, the radius of the can is approximately 3.89 cm.