Practice Test: Surface Area & Volumes - Class 10 MCQ

If the radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550 cm³, then its radius is equal to (Take π = 22/7)

If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, then

A hollow cylindrical pipe is 21 cm long. If its outer and inner diameters are 10 cm and 6 cm respectively, then the volume of the metal used in making the pipe is (Take π = 22/7)

If the radius and slant height of a cone are in the ratio 4 : 7 and its curved surface area is 792 cm², then its radius is (Take π = 22/7)

If the radius of the base and the height of a right circular cone are respectively 21 cm and 28 cm, then the curved surface area of the cone is (Take π = 22/7)

A conical tent with base-radius 7 m and height 24 m is made from 5 m wide canvas. The length of the canvas used is (Take π = 22/7)

The total surface area of a solid hemisphere of radius 3·5 m is covered with canvas at the rate of Rs. 20 per m². The total cost to cover the hemisphere is (Take π = 227)

If the volume of a vessel in the form of a right circular cylinder is 448 cm³ and its height is 7 cm, then the curved surface area of the cylinder is

If the curved surface area of a right circular cone is 12320 cm² and its base-radius is 56 cm, then its height is (Takeπ = 22/7)

If a solid metallic sphere of radius 8 cm is melted and recasted into n spherical solid balls of radius 1 cm, then n =

If the diameter of a metallic sphere is 6 cm, it is melted and a wire of diameter 0·2 cm is drawn, then the length of the wire made shall be

If n coins each of diameter 1·5 cm and thickness 0·2 cm are melted and a right circular cylinder of height 10cm and diameter 4·5 cm is made, then n =

A tent is in the form of a cylinder of diameter 8 m and height 2 m, surmounted by a cone of equal base and height 3 m. The canvas used for making the tent is equal to

A toy is in the form of a cone mounted on a hemisphere with same radius. The diameter of the base of the conical portion is 6 cm and its height is 4 cm. The surface area of the toy is

A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm. The volume of the frustum is

A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm has lateral surface area equal to

A solid metal cone with base-radius 12 cm and height 24 cm, is melted to form solid spherical balls, each of diameters 6 cm. The number of such balls made is

One cubic metre piece of copper is melted and recast into a square cross-section bar, 36 m long. An exact cube is cut off from this bar. If cubic metre of copper cost Rs. 108, then the cost of this cube is :

If the surface areas of two spheres are in the ratio 4 : 9, then the ratio of their volumes is :

In a shower 10 cm of rain fall. The volume of water that falls on 1.5 hectares of ground is :

The radius of base and the volume of a right circular cone are doubled. The ratio of the length of the larger cone to that of the smaller cone is :

A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :