The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is

If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

A cylindrical container is filled with ice cream. Its diameter is 12 cm. and height is 15 cm. The whole ice cream is distributed among 10 children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base, the diameter of the ice - cream cone is – 

The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm³, then the height (in cm) of the prism will be:

A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is? 

A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-

The bisector of ∠B in ΔABC meets AC at D. If AB=10 cm and BC=11 cm and AC=14 cm, then the length of AD is:

The total surface area of a hemisphere is 166.32 sq cm, find its radius?