Find the total surface area of the cone leave your answer in terms of pi 4 as height and 3 radius

Solve for x, y, and z. show all steps.

Can someone me and do the problem plz so i can understand it more better

The pyraminx is a rubik's cube-type toy in the shape of a tetrahedron. the pyraminx shown below has edges 15\,\text{cm}15cm long and vertical height h=12.2\,\text{cm}h=12.2cm. the triangle drawn with dashed lines is a right triangle. what is the distance rr? round your answer to the nearest tenth.