A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with internal radius 15cm, what will be the height to which the water rises in it?

What is the total surface area of a cylinder having radius of base as 7 cm and height as 5 cm?

Find the number of diagonals of a regular polygon, sum of whose interior angles is 2700⁰.

If the total surface area of a sphere of radius r cm is equal to the total surface area of a cube of side s cm, which of the following is true?

AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ∠APC = 62⁰, then find the measure of the minor arc AC.

If the volume and curved surface area of a cylinder 616 𝐦𝟑 and 352m2 respectively, what is the total surface area of the cylinder (in 𝐦𝟐)?

What is the volume of the largest sphere that can be carved out of a wooden cube of side 21 cm?π

The base of a triangle is 16 cm and its area is . Find its corresponding height, with respect to the given base.