What is the lateral area and the surface area of a right cylinder that is 10 feet high and has a base with a radius of 5 feet?

Answer with Step-by-step explanation:

The lateral area and surface area of cylinder is given by:

Lateral area=2πrh

Surface area=2πrh+2πr²

where r is the radius and h is the height

Here, h=10 feet

and r=5 feet

Lateral area=2×3.14×5×10  (Let π=3.14)

                  =314 square feet

Surface area=2×3.14×5×10+2×3.14×5×5

                    =314+157

                    =471 square feet

Hence, Lateral Area of cone= 314 square feet

and Surface Area of cone= 471 square feet