Mensuration Test - 5

A rectangular sheet of paper  44cm × 18cm is rolled along its longer side to form a cylinder. Find the volume of the cylinder so formed.

A metallic right circular cone of radius 7 cm and height 9 cm is melted and recast into a cuboid whose two sides are 11 cm and 6 cm. The third side of the cuboid is:

A cylindrical road roller made of iron is 1 m wide, its inner diameter is 54 cm and thickness of the iron sheet rolled into the road roller is 9 cm. Find the weight of the roller if I c.c. of iron weighs 8 g.

Two cylinders of same volume have their radii in the ratio√3: 1. What will be the ratio of their height?

 The dimension of the James guest room is 14m × 12m × 10m. He wants to fix a pole in his room so that he can hang some important posters on it. He wants that the room should contain maximum number of the posters on it. The length of the longest pole he can fit in his room is:

If the area of the three adjacent faces of a room is p, q, r respectively, then the volume of air in the room is:

The volume of a cylinder is 448𝜋 cm³ and height 7 cm. Find its total surface area.

Find the weight of a cubical wooden block of length 60 cm if weight of 1 cubic metre of wooden block is 900 kg.

 Three cubes of metal with edges 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the lateral surface area of the new cube so formed.

A tunnel has radius 4 cm and 2 cm at upper and lower ends respectively and slant height is 5 cm. Find the total surface area of the tunnel.