Chapter 13 – Surface Area and Volumes

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

The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is

If the volume of a cube is 343 cm , then its edge is

A solid piece of iron in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm, is moulded to form a solid sphere. The radius of the sphere is

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 = \(\frac { 22 }{ 7 }\))

The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is:

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 surahi is the combination of:

A right circular cylinder of radius r cm and height h cm (h > 2r) just encloses a sphere of diameter

The total surface area of a hemispherical solid having radius 7 cm is

The volume of the cuboid whose length, breadth and height is 12cm, 8cm and 6cm is

A shuttlecock used for playing badminton has the shape of the combination of

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

The radius and height of a right circular cone and that of a right circular cylinder are respectively equal. If the volume of the cylinder is 300 cu.cm, then the volume of the cone is

A cube whose edge is 20 cm long, has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest possible areas?

The volumes of two spheres are in the ratio 125 : 64. The ratio of their surface areas is

A container (open at the top) made up of metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends 8cm and 20 cm respectively. The amount of liquid the container can hold is (Take π = 3.14) ​

A mason constructs a wall of dimensions 270 cm × 300 cm × 350 cm with the bricks each of size 22.5 cm × 11.25 cm × 8.75 cm and it is assumed that 1/8 space is covered by the mortar. Then the number of bricks used to construct the wall is

If two solid hemispheres of same base radius are joined together along their bases, then curved surface area of this new solid is

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 = \(\frac { 22 }{ 7 }\))

The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is

A piece of paper is in the shape of a semi¬circular region of radius 10 cm. It is rolled to form a right circular cone. The slant height is

The base area of the cylinder is 80 sq.cm. If its height is 5cm, then its volume is

The cost of painting a cubical box of side 3m at the rate of Rs.2 per sq.m is

25. A cylindrical pencil sharpened at one edge is the combination of

Question 26. A shuttlecock used for playing badminton has the shape of the combination of

27. The slant height of the frustum of a cone having radii of two ends as 5 cm and 2 cm respectively and height 4 cm is

28. The total surface area of a hemispherical solid having radius 7 cm is

29. A solid formed on revolving a right angled triangle about its height is

30. The surface area of a sphere is 616 \(cm^{2}\). Its radius is