A cylindrical drum has a height of 20 cm and base radius of 14 cm. Find its curved surface area and the total surface area.

The curved surface area of a right circular cylinder of height 14 cm is 88 cm² . Find the diameter of the cylinder.

A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8 revolutions?

If one litre of paint covers 10 m², how many litres of paint is required to paint the internal and external surface areas of a cylindrical tunnel whose thickness is 2 m, internal radius is 6 m and height is 25 m.

The radius of a conical tent is 7 m and the height is 24 m. Calculate the length of the canvas used to make the tent if the width of the rectangular canvas is 4 m?

If the total surface area of a cone of radius 7cm is 704 cm², then find its slant height.

Find the diameter of a sphere whose surface area is 154 m².

The radius of a spherical balloon increases from 12 cm to 16 cm as air being pumped into it. Find the ratio of the surface area of the balloons in the two cases.

If the base area of a hemispherical solid is 1386 sq. metres, then find its total surface area?

A sphere, a cylinder and a cone  are of the same radius, where as cone and cylinder are of same height. Find the ratio of their curved surface areas.

The slant height of a frustum of a cone is 5 cm and the radii of its ends are 4 cm and 1 cm. Find its curved surface area.

The external radius and the length of a hollow wooden log are 16 cm and 13 cm respectively. If its thickness is 4 cm then find its T.S.A.

4 persons live in a conical tent whose slant height is 19 cm. If each person require 22 cm² of the floor area, then find the height of the tent.

The ratio of the radii of two right circular cones of same height is 1 : 3. Find the ratio of their curved surface area when the height of each cone is 3 times the radius of the smaller cone.

The radius of a sphere increases by 25%. Find the percentage increase in its surface area.

Find the volume of a cylinder whose height is 2 m and whose base area is 250 m².

The volume of a solid right circular cone is 11088 cm³. If its height is 24 cm then find the radius of the cone.

The ratio of the volumes of two cones is 2 : 3. Find the ratio of their radii if the height of second cone is double the height of the first.

A 14 m deep well with inner diameter 10 m is dug and the earth taken out is evenly spread all around the well to form an embankment of width 5 m. Find the height of the embankment.

If the circumference of a conical wooden piece is 484 cm then find its volume when its height is 105 cm.

If the ratio of radii of two spheres is 4 : 7, find the ratio of their volumes.

Water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Find the time in which the level of water in the tanks will rise by 21 cm.

A conical flask is full of water. The flask has base radius r units and height h units, the water poured into a cylindrical flask of base radius xr units. Find the height of water in the cylindrical flask.

The barrel of a fountain-pen cylindrical in shape, is 7 cm long and 5 mm in diameter. A full barrel of ink in the pen will be used for writing 330 words on an average. How many words can be written using a bottle of ink containing one fifth of a litre?

A hemi-spherical tank of radius 1.75 m is full of water. It is connected with a pipe which empties the tank at the rate of 7 litre per second. How much time will it take to empty the tank completely?

Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r units.

When ‘h’ coins each of radius ‘r’ units and thickness 1 unit is stacked one upon the other, what would be the solid object you get ? Also find its C.S.A.

When the radius of a cylinder is double its height, find the relation between its C.S.A. and base area.

Two circular cylinders are formed by rolling two rectangular aluminum sheets each of dimensions 12 m length and 5 m breadth, one by rolling along its length and the other along its width. Find the ratio of their curved surface areas.

Give practical example of solid cone.

Find surface area of a cone in terms of its radius when height is equal to radius

Compare the above surface area with the area of the base of the cone

When a sector of a circle is transformed to form a cone, then match the conversions taking place between the sector and the cone.

Sector	Cone
Radius	Circumference of the base
Area	Slant height
Arc length	Curved surface area

Find the value of the radius of a sphere whose surface area is 36\(\pi\) sq. units

How many great circles can a sphere have?

Find the surface area of the earth whose diameter is 12756 kms.

Shall we get a hemisphere when a sphere is cut along the small circle?

T.S.A of a hemisphere is equal to how many times the area of its base?

How many hemispheres can be obtained from a given sphere?

Give two real life examples for a frustum of a cone.

Can a hemisphere be considered as a frustum of a sphere

If the height is inversely proportional to the square of its radius, the volume of the cylinder is ____________.

What happens to the volume of the cylinder with radius r and height h, when its
(a) radius is halved (b) height is halved

Is it possible to find a right circular cone with equal
(a) height and slant height
(b) radius and slant height
(c) height and radius.

There are two cones with equal volumes. What will be the ratio of their radius and height?

Consider the cones given in Fig
(i) Without doing any calculation, find out whose volume is greater?
(ii) Verify whether the cone with greater volume has greater surface area.
(iii) Volume of cone A : Volume of cone B = ?

A cone, a hemisphere and a cylinder have equal bases. The heights of the cone and cylinder are equal and are same as the common radius. Are they equal in volume?

Give any two real life examples of sphere and hemisphere

Is it possible to obtain the volume of the full cone when the volume of the frustum is known?