The radius of a cylinder is 3x-2 cm. The height of the cylinder is x+3 cm.what is the surface area of the cylinder? Use the formula
A= 2 π r^ + 2 π rh
Given the radius of the cylinder is 3x-2 cm and height is x+3 cm.
We can substitute these values into the formula for the surface area of a cylinder:
A = 2πr^2 + 2πrh
A = 2π(3x-2)^2 + 2π(3x-2)(x+3)
Expanding this expression gives:
A = 2π(9x^2 - 12x + 4) + 2π(3x^2 + 7x - 6)
A = 18πx^2 - 24πx + 8π + 6πx^2 + 14πx - 12π
Combine like terms:
A = 24πx^2 - 10πx - 4π
Therefore, the surface area of the cylinder is 24πx^2 - 10πx - 4π.