the total surface area of a cylinder is 440 m square. find the height of cylinder if its radius is 7m.
To find the height of a cylinder given its total surface area and radius, you can use the formula for the total surface area of a cylinder:
Total Surface Area = 2πrh + 2πr^2.
In this case, the total surface area is given as 440 m^2, and the radius is given as 7 m. We need to find the height (h) of the cylinder.
Let's substitute the given values into the formula:
440 m^2 = 2π(7 m)h + 2π(7 m)^2.
Simplifying the equation, we have:
440 m^2 = 14πh + 98π.
To solve for h, we need to isolate it on one side of the equation. Subtracting 98π from both sides:
440 m^2 - 98π = 14πh.
Next, divide both sides of the equation by 14π:
(440 m^2 - 98π) / (14π) = h.
Now, calculate the right side of the equation:
h ≈ (440 m^2 - 98π) / (14π).
Using a calculator, you can substitute π with its value, approximately 3.14159, to find the height:
h ≈ (440 m^2 - 98 × 3.14159) / (14 × 3.14159).
h ≈ (440 m^2 - 307.86967) / 43.9823.
h ≈ 44772.54957 / 43.9823.
h ≈ 1017.6048.
Therefore, the height of the cylinder is approximately 1017.6048 meters.
3meters
SA = 2 circles + a rectangle
= 2πr^2 + 2πrh
440 = 2π(49) + 2π(7)h
h = (440- 98π)/(14π) = ...
you do the button-pushing, should get appr 3m