Areas and Volumes

Find the maximum length of the rod that can be kept in cuboidal box of sides 30cm, 20cm and 10cm.

• √1400

• 2√400

• 2√300

• None of these

For a sphere of radius r, curved surface area of the hemisphere

Consider a hollow cylinder having external radius R, internal radius r and height h. Volume of the material

A cone is cut through a plane Parallel to it's base and then the cone is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called

• Frustum of sphere

• Frustum of cone

• Frustum of pyramid

• Frustum of cylinder

A ................ is a solid or a hollow object that has a circular base and a circular top of the same size

• Cylinder

• Cone

• Sphere

• Hemisphere

In a right circular cone, the cross section made by a plane parallel to the base is a ?

• circle

• frustum of cone

• sphere

• hemisphere

What is the formulae for curved surface area of the frustum of the cone?

A cylinder and a cone are of same base radius and height. The ratio of the volume of the cylinder to that of the cone is

• 3:1

• 1:1

• 1:3

• 2:3

For a cuboid of length 'l' breadth 'b' and height 'h' lateral surface area is

If curved surface area of cylinder is equal to its volume then radius of cylinder equals........

• 6

• 4

• 2

• 1