If the illuminance at the edge of the table is 1/8 of that at the centre, then determine the height of the lamp in terms of r.

The volumes of a sphere and a right circular cylinder are equal and the diameter of the sphere equalsthe dianieter of the base of the cylinder. Determine the height of the cylinder in terms of the diameter of the sphere.

If three elements P, Q and R crystalline in a cubic solid lattice with P atoms of the corners, Q atoms at the cube centres and R atoms at the centre of the edges, then write the formula of the compound.

An arch is in the form of a semi-ellipse. It is 8m wide and 2m high at the centre. Find the height of the arch at a point 1.5 m from one end.

An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

If x=1/3 , then the greatest term in the expansion of (1+4x)^8 is the :

The length of a chord of a circle is 4 cm. If its perpendicular distance from the centre is 1.5 cm, determine the radius of the circle.

Find the middle term in the expansion of : (1/2a+1/3b)^8 .

The height of a rectangular box is h cm.Its length is 3 cm more than twice the height and its breadth is 1 cm less than the height.Express length and breadth in terms of height.