ANSWER
square inches.
Step-by-step explanation
The total surface area of a cylinder is given by;
![T.S.A = 2\pi \: r(r + h)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nx6r33dcu8fa3tk3ar3atfceqh8zt82ayh.png)
The height of the cylinder is , h=10in.
The radius of the cylinder is, r=5in.
We substitute the known values into the formula to obtain;
![T.S.A = 2\pi * 5(5+ 10)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ov0ajo8b1zdqjipjnajwno0e9pu7wrr521.png)
![T.S.A = 10\pi(15)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b1vi134gf7a0dtydnkd3lvxg4yiosawv2e.png)
In terms of π, the total surface area is
![T.S.A = 150\pi in^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pb89r6ruh0bza60wabw0ob47o13tqccqrk.png)