## 16 Surface area and volume of sphere circumscribing a regular tetrahedron

**Example 016**

Find the area of the surface and the volume of the sphere circumscribed about a regular tetrahedron of edge 25 cm. See Figure 015.

**Example 016**

Find the area of the surface and the volume of the sphere circumscribed about a regular tetrahedron of edge 25 cm. See Figure 015.

**Problem**

The diameter of a sphere is 18 in. Find the largest volume of regular pyramid of altitude 15 in. that can be cut from the sphere if the pyramid is (a) square, (b) pentagonal, (c) hexagonal, and (d) octagonal.

- Read more about Volume of regular pyramids cut from a sphere
- Log in to post comments

A **pyramid** is a polyhedron with a polygon base of any shape, and all other faces are triangles which have common vertex.

- Read more about The Pyramid
- Log in to post comments