Find the slant height of the cone as well as its lateral and surface area.

Hint

You'll need slant height to find the areas anyway. The Pythagorean Theorem is the way to go.

Answer

Slant height = 85 mm; L ≈ 3471 mm^{2}; SA = 4002 mm^{2}

Example 2

Find the surface area of the figure.

Hint

The surface area of the figure equals the lateral areas of the cone and the cylinder plus one base.

Answer

SA ≈ 4528 units^{2}

Example 3

Find the surface area of this figure.

Hint

The surface area of the top of the rectangular prism can be calculated by subtracting the circular base of the cylinder from the base of the rectangular prism. Everything else should be straightforward.