Question

В цилиндре площадь основания равна q а площадь осевого сечения m определить полную поверхность этого цилиндра

Answer 1

Sполн=2Sосн+Sбок
Sбок=2πrh
m=2rh
Sбок=πm
Sпол=2q+πm

Answer 2

Finding the Total Surface Area of a Cylinder

To find the total surface area of a cylinder, we need to consider the area of the two circular bases and the lateral surface area.

Given: - The area of the base is q. - The area of the axial section is m.

Calculating the Total Surface Area

1. Area of the Circular Bases: - The area of one circular base is given by the formula: πr^2, where r is the radius of the base. - Since the area of the base is given as q, we can find the radius using the formula: q = πr^2. - Solving for r: - r = √(q/π).

2. Lateral Surface Area: - The lateral surface area of a cylinder is given by the formula: 2πrh, where r is the radius and h is the height of the cylinder. - We need the value of h to calculate the lateral surface area.

3. Total Surface Area: - The total surface area of a cylinder is the sum of the areas of the two bases and the lateral surface area: 2πr^2 + 2πrh.

Conclusion

To determine the total surface area of the given cylinder, we need the values of q and m to calculate the radius and height of the cylinder. Once we have these values, we can use the formulas mentioned above to find the total surface area.