A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with internal radius 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:

A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12\sqrt{2}}$$ cm long, then the area of the triangle is.

The ratio between the volume (cm³) of a cylinder and the curved surface area (cm²) is numerically 14: 1. If the height of the cylinder is 50 cm, what is the volume of the cylinder (cm³) ?

The volume of a solid right circular cylinder is 5236 cm³, and its height is 34 cm. What is its curved surface area (in cm²)?

Find the area of a quadrilateral whose diagonal is 10 cm. And the length of the length put on it is 6 cm and 5 cm respectively. 

The vertices of the 1 cm side are cut from each corner of a square with a side of 4.5 cm. Find the circumference and area of the octagon formed?

Three solid metallic sphere whose radii are 3cm, x cm and 18cm respectively, are melted and recast into a single solid sphere of diameter 38cm. Then find the total surface area of the sphere with radius x cm?

A straight line parallel to the base QR of the ∆PQR intersect PQ and PR at the points S and T respectively. If the area of the ∆PQT be 36 cm² then area of the ∆PRS is: