Mensuration

The formula for the volume of a cone is: where and . Using , we substitute the values: Thus, the correct answer is option (1).

The volume of each cube is 64 cm , so the side length of each cube is: When two cubes are joined end to end, the resulting cuboid will have dimensions: The surface area of a cuboid is given by the formula: Substituting the values: Thus, the correct answer is option (2).

The formula for the curved surface area of a right circular cylinder is: where is the radius and is the height. Given and , and using , we calculate: Thus, the correct answer is option (4).

The formula for the volume of a cylinder is: The formula for the volume of a cone is: Since the base radius and height of the cylinder and cone are the same, the ratio of their volumes is: Thus, the correct answer is option (3), 3:1.