Mathematics (Mensuration 3D পরিমিতি 3D)

1) If the edge length of a cube is doubled, how many times will the volume increase?

2) A hemisphere has a surface area of 462 cm². What is the radius of the hemisphere?

3) A cuboid has dimensions 4 cm x 5 cm x 6 cm. What is the surface area of the cuboid?

4) A rectangular tank has length, breadth, and height as 10 m, 5 m, and 2 m, respectively. What is the capacity in liters?

5) The lateral surface area of a right circular cylinder is 94.2 cm² and its height is 6 cm. What is the radius of the base?

6) The volume of a cylinder is 1540 cm³ and its height is 10 cm. What is the diameter of its base?

7) A sphere is inscribed in a cube. If the edge of the cube is 6 cm, what is the volume of the sphere?

8) A right circular cylinder and a right circular cone have the same base radius and height. What is the ratio of their volumes?

9) A cone has a base radius of 4 cm and a height of 9 cm. What is the slant height of the cone?

10) The diameter of a sphere is 12 cm. What is the surface area of the sphere?