91. The sum of the radius of spheres A and B is 14 cm, the radius of A being larger than that of B. The difference between their surface areas is 112π. What is the ratio of the volumes of A and B?
92. If V1, V2 and V3 be the volumes of a right circular cone. A sphere and a right circular cylinder having the same radius and same height then
93. How much iron sheet (in m2) will be needed to construct a rectangular tank measuring 10 m × 8 m × 6 m, if a circular opening of radius one metre is to be left at the top of the tank? (correct to one decimal place)
94. The height of a solid right circular cylinder is 6 metres and three times the sum of the area of its two end faces is twice the area of its curved surface. The radius of its base (in metre) is
95. 5 persons live in a tent. If each person requires 16 m2 of floor area and 100 m3 space for air then the height of the cone of smallest size to accommodate these persons would be?
96. A circus tent is cylindrical up to a height of 3 m and conical above it. If its diameter is 105 m and the slant height of the conical part is 63 m, then the total area of the canvas required to make the tent is $$\left( {{\text{take }}\pi = \frac{{22}}{7}} \right)$$
97. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volume is
98. Six cubes each edge 2 cm, are joined end to end. What is the total surface area of the resulting cuboid in cm2?
99. The radius of the base of a conical tent is 16 metres. If $$427\frac{3}{7}$$ sq. metre canvas is required to construct the tent, then the slant height of the tent is: $$\left( {{\text{take }}\pi = \frac{{22}}{7}} \right)$$
100. The length of a metallic pipe is 7.56 m. Its external and internal radii are 2.5 cm and 1.5 cm respectively. If 1 cm3 of the metal weight 7.5 g, then the weight of the pipe is: $$\left( {{\text{Take }}\pi = \frac{{22}}{7}} \right)$$
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