Radius of base of a right circular cone and a sphere is each equal to r. if the sphere and cone have same volume, the what is the height of the cone?

The area of a rhombus is 216 cm² and the length of its one diagonal is 24 cm . The perimeter ( in cm ) of the rhombus is 

The diagonal of a rectangle is 17 cm long and its perimeter is 46 cm. Find the area of the rectangle.

A goat is tied with a 10.5 m-long rope to one corner of a plot which is in the shape of an equilateral triangle each side of which is 16 m long. Find the area that the goat can graze on.

If a regular polygon has 5 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees? 

The circumference of a circle is 792 m. What will be its radius?

The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is

The cost of levelling a ground in rectangular shape for a proposed garden at 80 paise per square meter is Rs.132 and the cost of fencing the same along its perimeter is Rs.78 at Rs.1.50 per meter. If the garden is extended in rectangular shape with its sides as cubes of the originally proposed garden, what will be the perimeter of the garden after extension?