Volume and water displaced.

When a chunk of iron is completely submerged into a cylindrical tank of water, the water rises 6 inches. The diameter of the tank is 18 inches. What is the volume of the chunk of iron?

Find the lateral area of a square pyramid.

A square pyramid has a height of 24. A circle inscribed in the base has an area of 49 pi. Find the lateral area.

Find the volume of a cylinder given its height and surface area.

A cylinder is 10 inches high and has a total area of 150 pie. What is it's volume?

Cube with a Sphere Inside : What percentage of this box is empty space?

A sphere fits exactly inside of a cubical box. (The sphere is tangent to all six faces of the cube) The remaining space inside of the box is filled with coke. What percentage of the box is filled with coke?

What is the volume of the pyramid?

The lateral area of a regular square pyramid is 476 and the slant height is 14. What is the volume of the pyramid?

Two Spheres : Find volume of large sphere given surface areas and sum of volumes.

The areas of two spheres are 49 pie and 81 pie. The sum of their volumes is 11,792. What is the volume of the large sphere?

Sides of a Triangle are all Diameters of Semicircles : Area of Shaded Region?

Triangle ABC is a right triangle in a semicircle with AC as a diameter. Semicircles are also drawn with legs AB and BC as diameters. If AB=12 and BC = 5, What is the sum of the shaded areas? Please see the attached diagram.

Find the area of the Quadrilateral FGKH.

Thea area of triangle ABC is 64 sq. in. DE is parallel to FG is parallel HK is parallel to BC. AD=DF=FH=HB Find the area of the Quadrialateral FGKH.

Find the volume of a large sphere given areas and sum of volumes.

The areas of two spheres are 49pi and 81 pi. The sum of their volumes is 11,792. What is the volume of the large sphere?

What is the volume of the truncated solid if each base is 36 and each lateral edge is 12 sq.rt. 21.

A truncated pyramid is what is left when a plane parallel to the base cuts off the top. If a regular hexagon pyramid is truncated half way from the base to the top, what is the volume of the truncated solid if each base edge is 36 and each lateral edge is 12 sq.rt. 21?