Surface Area and Volume

Ramana is painting his new top with crayons. Find the surface area of top

• CSA of cone +TSA of a Hemisphere

• CSA of cone +TSA of a Hemisphere

• CSA of cone +CSA of a Hemisphere

• None

A cone and a cylinder have heights in the ratio 4:5 and diameters in the ratio 3:2. Find the ratio of the volume of the cone to the cylinder

• 3:5

• 5:3

• 3:4

• 4:3

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

A cylinder and a cone have the same base radius and height. Ratio of volume of cylinder to that of the cone is:

• 1:2

• 2:3

• 3:1

• 1:3

A toy is in the form of a cone mounted on a hemisphere of common base radius 7 cm. The total height of the toy is 31 cm. Find the total surface area of the toy.

• 912

• 769

• 858

• 465

If the ratio of the radius of a cone and a cylinder of equal volume is 3:5 , then find the ratio of their heights

• 25/3

• 28/3

• 23/3

• 7

Ram has a semicircular disc. He rotates it about its diameter by 360°. When he rotates the disc a volume of air in his room gets swept. What is the name of the object/shape that exactly occupies this volume?

• Cylinder

• Hemisphere

• Sphere

• Cuboid

A circus tent is cylindrical to a height of 4m and conical above it. If its diameter is 105m and its slant height is 40m, the total area of canvas required in m² is

• 1760

• 2640

• 3960

• 7920

A sphere of radius 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 8 cm. If the sphere is submerged completely, then the surface of the water rises by

• 4.5 cm

• 3 cm

• 4 cm

• 2.5 cm

A cylindrical vessel 32cm high and 18cm as radius of the base is filled with sand. This is emptied on the ground and a conical heap is formed. If the height of the conical heap is 24 cm, the radius of its base is,

• 12 cm

• 24 cm

• 36 cm

• 48 cm