A metallic solid spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 2 cm and 1.5 cm. What is the surface area (in cm²) of the third ball?

The diagonal of a right angle isosceles triangle is 5 cm. Its area will be

Radius of a circle is 5 cm. Length of chord AB in this circle is 6 cm. What is the distance of this chord from the centre of the circle?

The perimeter of a square with diagonal 29√2 cm is equal to the perimeter of a rectangle. Find the area of the rectangle if the length of the rectangle is 8 cm more than the breadth of the rectangle?

In a triangle ABC, D is a point on BC such that If ∠B = 68° and ∠c = 52°, then measure of ∠BAD is equal to:

The base of a right pyramid is a square of side 10 cm. If its height is 10 cm, then the are (in cm²) of its lateral surface is:

If the arcs of square length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is 

△ABC ∼ △DEF. If the areas of △ABC and △DEF are 100 cm² and 81 cm², respectively and the altitude of △DEF is 6.3 cm, then the corresponding altitude of △ABC is: