1. A (consider the extreme or maximum case in which radii of all the 3 figures are equal. Even then if we calculate the volumes, we have sphere having max volume)
2. B ( Consider a case of wire with length of 12 cm. we can have a right triangle with sides of lengths 3, 4, 5, which is also a scalene triangle => Area = 6.
Equilateral triangle with side = 4 => area = 4(3)^2. which is greater)
3. D ( Always n-2, excluding the vertices immediate next to the chosen vertex)
triangle ADE and triangle ABC are symmetric. since
AD/AC = AE/AB = DE/BC = 1/3
so 3.5/ BC=1/3
BC = 3.5(3) = 10.5.
please confirm my answers ............. Questions are really good.....