If the lateral area of a cylinder circumscribed about a sphere A, what is the surface of the sphere?

Given of diameter x and altitude of h. What percent is the volume of the largest cylinder which can be inscribed in the cone to the volume of the cone?

Find the area of an equilateral triangle inscribed in a circle of radius 20 cm.

A wooden pyramid of altitude 10 m is to be cut into 2 parts by a plane parallel to its base such that the area of the base is 5 times the area of intersection. How far from the apex does the plane intersect the altitude?

Find the area of the gable end of the house with a base of 19.2 ft and base angles of 23.17° each.

If a right cone has a base radius of 35 cm and an altitude of 45 cm. Solve for the total surface area and the volume of the cone.

Find the volume of a sphere inscribed in a regular icosahedron with sides equal to 10 cm.

Find the area of a regular hexagon whose sides measure 5 cm.

A regular pentagon has sides of 20 cm. An inner pentagon with sides of 10 cm is inside and concentric to the larger pentagon. Determine the area inside and concentric to the larger pentagon but outside of the smaller pentagon.

Find the area of a regular five - pointed star inscribed in a circle of radius 20 cm.