Please solve this

Please solve this 18. A conical vessel of radius 6 cm and height 8 cm is completely filed with water. A sphere ) lowered Into the water and its size is such that when it touches the sides. is just immersed. What fraction of water overflows ? A cylinder is circumscribed about a hemisphere and a cone is inscribed in the cylinder as to have ts vertex at the centre of one end and fle offer end as its base. Find the Of the volumes of the cylinder. hemisphere and come respectively. A circu lar cone is cut by two planes pa rabel to the base trisecting the heigtt Compare the volumes of the three parts into which the cone is divided 1 : 7 : 19 21. A bucket of height 8 cm and made up of copper sheet is in the form of frustrum of a right circular cone wth radii cf its lower and upper ends as 3 cm and 9 cm respectively Calculate (i) the height of the cone of which the bucket is a part. (ii) the volume of water which an be filled in the bucket. (iii) the area of copper sheet required to make the bucket (leave the answer in terms of a) (i) 12 cm (II) 312 (iii) 129 n cma 22, If s be the surface area of a cuboid of dimensions a, b, c and v be its volume. prove that lla 11b* I/czsnv If area of adjacent faces of a are X, Y & Z Then prove that V = X? x Y2 x If h. c. v are respectively tl.e height. the curved surface and volume Of a then prove that 3rvh3— c2h2 + 9v2 = O A right circular cylinder and a have equal bases and equal heights. If their curved surfaces are as e : 5, show frat tho radius of their base is to their height as 3 : 4. 26 A sphere and a cube have the same surface. Show that the ratio ot the volume Of the sphere to that of the cubo is (9 The curved surface of a cylinder is 2640 sq. cm. and its volume is 26400 cu cm. Find the curved surface ofa nght circular cone which has the same base and height of the cylinder. 1822.86 eq. cm Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m Find the time in which the level of water in the 149 tank A spherical ball of iron has been melted and made into emal!er 2 hours