SURFACE AREAS AND VOLUMES

VOLUMES OF A HEMI SPHERE IS DOUBLE THE VOLUME OF A CONE WHOSE RADIUS IS SAME AS THAT OF HEMI SPHERE AND BOTH ARE OF EQUAL HEIGHTS.

IF THE AREAS OF THREE COTRMINOUS SURFACES OF A CUBOID IS X, Y, Z RESPECTIVELY THEN VOLUME OF THE CUBOID, V IS GIVEN BY V^2 = XYZ

if a rectangular page of dimensions 14 x 7 is rolled in two different ways, one along its longer side and another along its shorter side, to form two different hollow cylinders. the ratio of their curved surface areas is

if the side of a cube is doubled then the total surface area of the resulting cube is

IF A CUBE IS INSCRIBED IN A HOLLOW SPHERE OF RADIUS 7 cm, THEN THE LENTH OF EDGE OF THE CUBE IS