Answer:
Surface area = 1570.8 in.^2
Explanation:
The formula for surface area of cylinder is given by:
SA = 2πrh + 2πr^2, where
- SA is the surface area of the cylinder in square units,
- r is the radius of the circle,
- and h is the height of the cylinder.
Since the radius is 10 in. and the height is 15. in, we can find the surface area of the cylinder in square in. by plugging in 10 for r and 15 for h in the surface area formula and simplifying then rounding to the nearest tenth:
SA = 2π(10)(15) + 2π(10)^2
SA = 2π(150) + 2π(100)
SA = 300π + 200π
SA = 500π
SA = 1570.796327
SA = 1570.8 in.^2
Thus, the surface area of the cylinder is about 1570.8 in.^2