a cone with slant height 22 cm and radius 7 cm (1 point)

about 484 cm2
about 507 cm2
about 637 cm2
about 1,123 cm2

a sphere with radius 12 cm (1 point)
about 904 cm2
about 576 cm2
about 452 cm2
about 1,809 cm2

a square pyramid with base edge 80 m and slant height 100 m (1 point)
44,800 m2
48,000 m2
16,000 m2
22,400 m2

To find the surface area of a cone, you need to know the slant height and the radius. The formula for the surface area of a cone is given by:

Surface Area = πr(r + l)

Where:
- r is the radius of the base of the cone
- l is the slant height of the cone
- π is a mathematical constant approximately equal to 3.14159.

Let's calculate the surface area of the cone first:

Given:
- Slant height (l) = 22 cm
- Radius (r) = 7 cm

Surface Area = π * 7 * (7 + 22)
Surface Area = 3.14159 * 7 * 29
Surface Area ≈ 643.01 cm²

Therefore, the surface area of the cone is approximately 643.01 cm².

Now, let's move on to the surface area of a sphere. The formula for the surface area of a sphere is given by:

Surface Area = 4πr²

Where:
- r is the radius of the sphere
- π is a mathematical constant approximately equal to 3.14159.

Given:
- Radius (r) = 12 cm

Surface Area = 4π * 12²
Surface Area = 4 * 3.14159 * 144
Surface Area = 3.14159 * 576
Surface Area ≈ 1,809.56 cm²

Therefore, the surface area of the sphere is approximately 1,809.56 cm².

Finally, let's calculate the surface area of a square pyramid. The formula for the surface area of a square pyramid is given by:

Surface Area = B + (0.5Ps)

Where:
- B is the area of the base of the pyramid
- Ps is the perimeter of the base multiplied by the slant height.

Given:
- Base edge (B) = 80 m
- Slant height (s) = 100 m

First, calculate the area of the base of the pyramid:

Area of the base = side^2
Area of the base = 80^2
Area of the base = 6,400 m²

Now, calculate the perimeter of the base:

Perimeter of the base = 4 * side
Perimeter of the base = 4 * 80
Perimeter of the base = 320 m

Next, calculate Ps:
Ps = Perimeter of the base * Slant height
Ps = 320 * 100
Ps = 32,000 m

Finally, calculate the surface area of the pyramid:

Surface Area = Area of the base + (0.5 * Ps)
Surface Area = 6,400 + (0.5 * 32,000)
Surface Area = 6,400 + 16,000
Surface Area = 22,400 m²

Therefore, the surface area of the square pyramid is 22,400 m².