A metallic right circular cone 20 cm high and whose vertical angle is `60^(@)` is cut into two parts at the middle of its height by a plane parallel at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter `(1)/(16)` cm, find the length of the wire.

From the top of a solid cone of height 12 cm and base radius 6 cm, a cone of height 4 cm is removed by a plane parallel to the base. Find the total surface area of the frustum of a cone so formed. (Use sqrt(5)=2.236)

A right circular cylinder has base radius 14 cm and height 21 cm. Find its total surface area.

A right circular cylinder has base radius 14 cm and height 21 cm. Find its volume.

A concave mirror of focal length 20 cm is cut into two parts from the middle and the two parts are moved perpendicularly by a distance 1 cm from the previous principal axis AB .find the distance between the images formed by the two parts?

If the volume of a right circular cone of height 9 cm is 48 pi" "cm^(3) , find the diameter of its base.

A right circular cylinder has base radius 14 cm and height 21 cm. Find its area of base (or area of each end)

A right circular cylinder has base radius 14 cm and height 21 cm. Find its curved surface area.

The top of two poles of height 16m and 10m are connected by a wire. If the wire makes an angle of 30^(@) with the horizontal, then its length is……….m

A solid consisting of a right circular conce of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of wate such that it touches the bottom. Find the volume of water left in the cylinder. if the radius of the cylinder is 60 cm and its height is 150 cm.