If the height of a cylinder is 4 times its circumference, the volume of the cylinder in terms of its circumference c, is

If the surface area of sphere is 346.5 cm², then its radius [ taking π = 22/7 ] is

• 7 cm

• 3.25 cm

• 5.25 cm

• 9 cm

If each side of a cube is increased by 10% the volume of the cube will increase by

• 30%

• 10%

• 33.1%

• 33.1%

A conical cup is filled with ice cream. The ice-cream forms a hemispherical shape on its open top. The height of the hemispherical part is 7 cm. The radius of the hemispherical part equals the height of the cone. Then the volume of the ice-cream is 

• 1078 cubic cm

• 1708 cubic cm

• 7108 cubic cm

• 7108 cubic cm

A large solid sphere is melted and moulded to form identical right circular cones with base radius and height same as the radius of the sphere. One of these cones is melted and moulded to form a smaller solid sphere. Then the ratio of the surface area of the smaller to the surface area of the larger sphere is

A ball of lead 4 cm in diameter is covered with gold. If the volume of the gold and lead are equal, then the thickness of gold [given ] is approximately.

• 5.038 m

• 5.190 cm

• 1.038 cm

• 1.038 cm

37.

The base of a right prism is an equilateral triangle. If the lateral surface area and volume is 120 cm², 40√3 cm³ respectively then the side of base of the prism is

• 4 cm

• 5 cm

• 7 cm

• 40 cm

The base of a right prism is a right angle triangle with two sides 5cm and 12 cm. The height of the prism is 10 cm. The height of the prism is 10 cm. The total surface area of the prism is

• 360 sq cm

• 300 sq cm

• 330 sq cm

• 325 sq cm

The height of the right pyramid whose area of the base is 30m² and volume is 500 m³, is

• 50 m

• 60 m

• 40 m

• 20 m

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 th of the volume of the given cone, at what height above the base is the section made?

• 19 cm

• 20 cm

• 12 cm

• 15 cm