(a) A rectangular parallelopiped has diamensions `10 cm xx 5 cm xx 2.5 cm`. Calculate (i) the radius of the sphere and (ii) the side of the cube which will have the same volume as the paralleopiped. (b) Which out of the three has miniumum surface area ?

(a) there is a rectangular frame of wir measuring 20 cm xx 13 cm . Calculate (i) the perimeter of the square and (ii) radius of the circle, which will have the same perimeter as the rectangular frame, (b) shown that of the three, the circle has the maximum surface area.

If the height of a cone is half the radius of a sphere then the radius of the base of the cone, which has the same volume as a sphere of radius 7 cm is :

A rectangular block has dimensions 5 cm xx 5 cm xx 10 cm . Calculate the resistance measured between (a) two square ends and (b) the opposite rectanglar ends specific resistance of the material is 3.5xx10^(-5) Omega m

Find the surface area of the sphere of radius: 5 cm?

The larges sphere is carved out of a cube of side 10.5cm. Find the volume of the sphere.

A cube of edge 6 cm and a cuboid with dimensions 4 cm xx x cm xx 15 cm are equals in volume . Find : (i) the value of x (ii) total surface area of the cuboid (iii) total surface area of the cube. Which of these two has greater surface and by how much?

The larges sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

The larges sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.