From a solid right circular cylinder of height 2.4 cm and radius 0.7 cm, a right circular cone of same height and same radius is cut out. Find the total surface area of the remaining solid.

In a rain-water harvesting system, the rain-water from a roof of 22 m 20 m drains into a cylindrical tank having diameter of base 2 m and height 3.5 m. If the tank is full, find the rainfall in cm. Write your views on water conservation.

Which term of an A.P. 8, 14, 20, 26, … will be 72 more than its 41^st term?

If the 10^th term of an A.P. is 52 and 17^th term is 20 more than the 13^th term, find the A.P.

If the roots of the equation (c² – ab)x² – 2(a² – bc)x + b² – ac = 0 in x are equal, then show either a = 0 or a³ + b³ + c³ = 3abc.