Answer:
17 1/2 π cm²
Explanation:
The formula for the surface area of a cylinder is:
A = 2πr^2 + 2πrh
where r is the radius and h is the height.
Given that the radius is 1 3/4, we can convert it to an improper fraction:
1 3/4 = 7/4
Similarly, the height 3 1/4 can be converted to an improper fraction:
3 1/4 = 13/4
Now we can substitute the values into the formula:
A = 2π(7/4)^2 + 2π(7/4)(13/4)
A = 2π(49/16) + 2π(91/16)
A = (98π/16) + (182π/16)
A = (280π/16)
A = 35/2 π
in mixed fraction
A=17 1/2 π cm²
Therefore, the exact surface area of the cylinder in terms of π is 17 1/2 π cm².