Question

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 1

Explanation:

n three-dimensional geometry, a cylinder is a shape that has two bases that are parallel to each other and are equal in measure, and both the bases are connected to a common lateral surface.

The length of the line segment that joins the center of both the bases is called the height of the cylinder.

The radius of the cylinder is the same as the radius of the base.

Answer 2

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