The total surface area of a solid right circular cylinder is twice that of a solid sphere. If they have the same radii, the ratio of the volume of the cylinder to that of the sphere is given by

Balls of marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm?

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

If the sum of three dimensions and the total surface area of a rectangular box are 12 cm and 94 $$\ cm^2 $$ respectively, then the maximum length of a stick that can be placed inside the box is

If the area of a circle inscribed in a square is 9π $$ {}\ cm^2 $$, then the area of the square is

If the length and breadth of a rectangle are in the ratio 3:2 and its perimeter is 20 cm, then the area of the rectangle (in cm²) is

The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq.cm, Find the length of the greater line segment if one is longer than the other by 2cm.

The radius of a circular wheel is 1.75 m. The number of revolutions it will make in travelling 11 km is (use  );