Area

161 A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water it can hold.

162 Two circles of radius 3 cm and 4 cm, are drawn in such a way that they touch each other exactly at one point. A and B are two points on these two circles. If AB denotes the distance between them, then the maximum value of AB can be

163 70. Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm

164 In a triangle ABC, right angled at B, BC = 15 cm and AB = 8 cm. A circle is inscribed in triangle ABC. Then the radius of the circle is :

165 If the angles of a triangle are in the ratio of 2 : 5 : 8, then find the value of the smallest angle:

166 The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles  ?

167 A cistern, open at the top, is to be lined with sheet of lead which weights 27 kg/m². The cistern is 4.5 m long and 3 m wide and holds 50 m³. The weight of lead required is :

168 The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200% respectively. Then the increase in the volume of the cuboid is :

169 In a right angled triangle, the hypotenuse is 4 cm longer than the perpendicular which is 4 cm longer than the base. Calculate the length of hypotenuse:

170 The perimeter and the length of one of the diagonals of a rhombus is 26 cm and 5 cm respectively. Find the length of it's other diagonal (in cm).