If S denotes the area of the curved surface of a right circular cone of height h and semi vertical angle ∝ then S equals

The length of diagonal of a square is $${15\sqrt { 2}}$$cm. Its area is

The distance between the centers of two circles having radii 4.5 cm. and 3.5 cm. respectively is 10 cm. What is the length of the transverse common tangent of these circles?

A Solid cylinder has total surface area of 462 sq.cm. Its curved surface area is one third of the total surface area. Then the radius of the cylinder is

A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid.

A rectangular LCD has an area of 480 $${{cm^2}}$$ and a perimeter of 92 $${{cm^2}}$$ . If the size of the LCD is defined of the diagonal, then what the size of the LCD?

If in a triangle the circumcentre, incentre, centroid and orthocentre are at the same place, then what will that triangle be like?

If circumference of first circle is 132 cm and circumference of second circle is 110 cm then find the difference between area of both the circle?