The volume of a sphere and an elliptical cylinder are the same. The radius of the sphere and cylinder are 21 cm and 14 cm respectively. What is the height of the cylinder?

A square pyramid with side 10 cm has a volume of 400 cm³. Find the total surface area of the pyramid.

The area of triangle is half the area of square. The perimeter of the square is 224 cm. What is the area of triangle?

The radius of a semicircle is 35 cm, find its area and perimeter.

If each edge of a cube is reduced by 25 percent, find the ratio of the volume of the original cube and the resulting cube?

A field is in the form of an equilateral triangle of side 100 m. A horse is tied to a vertex of the field, with a 15 m long rope. Over what area can the horse graze? 

The ratio of the radii of two wheels is 3: 4, then the ratio of their circumferences will be.

The perimeter of a square and an equilateral triangle is the same if the length of the diagonal of the square is $$ {12 \ sqrt {2}} $$ cm. If, what will be the area of the triangle?