Volume and Surface Area

ABC26GN5057 · A solid cylinder of base radius 7 cm and height 24 cm is surmounted by a cone of the same radius and same vertical height. A hemisphere…

ABC26GN5059 · A sphere of maximum volume is cut out from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut out…

ABC26GN5060 · What is the volume in cubic cm of a pyramid whose area of the base is 25 sq cm and height 9 cm? · 2006

ABC26GN5061 · If a regular square pyramid has a base of side 8 cm and height 30 cm, its volume is

ABC26GN5062 · The base of a pyramid is an equilateral triangle of side 1 m. If the height of the pyramid is 4 metres, then the volume is

ABC26GN5063 · A right pyramid is on a regular hexagonal base. Each side of the base is 10 m and the height is 60 m. The volume of the pyramid is

ABC26GN5066 · Length of each edge, of a regular tetrahedron is 1 cm. Its volume is [SSC-CHSL (10+2) Exam, 2015]

ABC26GN5068 · Base of a right prism is a rectangle, the ratio of whose length and breadth is 3 : 2. If the height of the prism is 12 cm and total surface…

ABC26GN5069 · The radius of a cylinder is 5m more than its height. If the curved surface area of the cylinder is 792 m2, what is the volume of the…

ABC26GN5070 · The radius of base and curved surface area of a right cylinder is ' r ' units and 4 pi r h square units respectively. The height of the…

ABC26GN5072 · If the volume and curved surfaces area of a cylinder are 616 m3 and 352 m2 respectively, what is the total surface area of the cylinder (in…

ABC26GN5074 · Each side of a cube is decreased by 25%. Find the ratio of the volumes of the original cube and the resulting cube. [SSC-CHSL (10+2) Exam…

ABC26GN5075 · A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be [SSC-CHSL (10+2)…

ABC26GN5076 · The base of a right prism is a trapezium whose lengths of two parallels sides are 10 cm and 6cm and distance between them is 5 cm. If the…

ABC26GN5077 · The sum of the radius and the height of a cylinder is 19 m. The total surface area of the cylinder is 1672 m2, what is the volume of the…

ABC26GN5078 · A solid piece of iron is in the form of a cuboids of dimensions (49cm × 33cm × 24cm) is melted and moulded to form a solid sphere. The…

ABC26GN5080 · A sphere and a cube have same surface area. The ratio of squares of their volumes is · 2016

ABC26GN5081 · The radius of a sphere is equal to the radius of the base of a right circular cone, and the volume of the sphere is double the volume of… · 2016

ABC26GN5083 · If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, then the diameter of the new sphere will be · 2016

ABC26GN5085 · If the radius of a sphere is increased by 10%, then the volume will be increased by · 2016

ABC26GN5086 · When a ball bounces, it rises to 2/3 of the height from which it fell. If the ball is dropped from a height of 36 m, how high will it rise… · 2016

ABC26GN5088 · A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 6cm and 8cm, find the edges…