The curved surface area and the volume of a cylindrical object are 88 cm ²and 132 cm ³, respectively. The height (in cm) of the cylindrical object is:

(Take π =   \(\frac{{22}}{7}\) )

The circumference of the base of a cylindrical vessel is 264 cm and its height is 50 cm. The capacity (in litres) of the vessel is:

(Take π =  \(\frac{22}{7}\) )

The sum of the curved surface area and total surface area of a solid cylinder is 2068 cm ². If radius of its base is 7 cm, then what is the volume of this cylinder ? (use π = 22/7)

What will be the total cost (in Rs.) of polishing the curved surface of a wooden cylinder at rate of Rs. 50 per m ², if its diameter is 70 cm and height is 6 m? (Take π =  \(\frac{22}{7}\) )

A cylindrical tube, open at both ends, is made of a metal sheet which is 0.5 cm thick. Its outer radius is 4 cm and length is 2 m. How much metal (in cm ³) has been used in making the tube?

The volume of a right circular cone is 308 cm ³ and the radius of its base is 7 cm. What is the curved surface area (in cm ²) of the cone? (Take π =  \(\frac{22}{7} \) )

The slant height and radius of a right circular cone are in the ratio 29 ∶ 20. If its volume is 4838.4 π cm ³, then its radius is: 

Six cubes, each of edge 2 cm, are joined end to end. What is the total surface area of the resulting cuboid in cm ²?

The volume of a sphere of radius 4.2 cm is: \(\left(\text { Use } \pi=\frac{22}{7}\right)\)

If 3.96 cubic dm of lead is to be drawn in to a cylindrical wire of diameter 0.6 cm, then the length of the wire (in metres), is:

A cone and a hemisphere have equal bases and volumes. What is the ratio of the height of the cone to the radius of the hemisphere?

A metallic solid cuboid of dimensions 36 cm × 18 cm × 12 cm is melted and recast in the form of cubes of side 6 cm. Find the number of cubes so formed.

A solid cylinder has a radius of 9 cm and a height of 25 cm. What is the ratio of its total surface area to its curved surface area?