The total area of the figure will be 245 sq. in.
Total area of a cylinder
The figure is a cylinder and the total area of a cylinder is given by the formula below:
Total Area of a cylinder = 2πrh+2πr^2
Where r is the radius, h is the height of the cylinder, and π is constant with a value of 22/7.
In this case, looking at the image, the radius is 3" while the height is 10". Substituting these values into the formula above, we have:
Total Area = 22/7((2x3x10) + (2x3^2)) = 22/7(60+18)
= 245 sq. in.
Thus, the total area of the solid figure is 245 sq. in.
More on the area of cylinders can be found here: https://brainly.com/question/16134180
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