Cone has diameter of 14 inches and slant height of 20 inches. Find the surface area to nearesth hundredth. Need units.

Answer 1

To find the surface area of a cone, we need to determine the lateral area and the base area.

The lateral area of a cone is given by the formula:

Lateral area = π * r * s,

where r is the radius of the cone and s is the slant height.

First, we need to find the radius, which is half the diameter. So, the radius is 14 inches / 2 = 7 inches.

Now, we can calculate the lateral area using the formula:

Lateral area = π * 7 inches * 20 inches

Lateral area ≈ 439.82 square inches (rounded to the nearest hundredth).

Next, we need to find the base area of the cone. The base is a circle with radius 7 inches.

Base area = π * (7 inches)^2

Base area ≈ 153.94 square inches (rounded to the nearest hundredth).

Finally, we can compute the surface area of the cone by adding the lateral and base areas:

Surface area = Lateral area + Base area

Surface area ≈ 439.82 square inches + 153.94 square inches

Surface area ≈ 593.76 square inches (rounded to the nearest hundredth).

Therefore, the surface area of the cone is approximately 593.76 square inches.

Answer 2

What are the units