A vertical stick which is ^@ 24 \space cm^@ long casts a ^@21 \space cm^@ long shadow on the ground. At the same time, a vertical tower casts a ^@80 \space m^@ long shadow on the ground. Find the height of the tower.
From a point ^@ P ^@ outside a circle with center ^@ O ^@, tangents ^@ PA ^@ and ^@ PB ^@ are drawn to the circle. The line segment formed by joining the points ^@ A ^@ and ^@ B ^@ intersect the line segment ^@ OP ^@ at ^@ M ^@. What is the measure of ^@ \angle BMP ^@ ?
Bashir cut a cylindrically shaped solid pipe, having a diameter and height as ^@ 4 \space cm ^@ and ^@ 20 \space cm ^@ respectively, into ^@5^@ equal parts. He then took a piece and rolled it into ^@4^@ similar balls. What would be the diameter of the ball^@?^@
A tent is in form of a right circular cylinder and cone as shown in the picture. The radius of cone and cylinder is 4 meters. The height of cylinder and cone are 11.5 meters and 3 meters respectively. Find the outer surface area of the tent. (Assume π =