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If both ends of a hollow cylinder are open. Its height is $20 cm$ and internal and external radius are $26 cm$ and $30 cm$ respectively. Assuming the volume of this hollow cylinder is $k c m^{3}$ , then find the value of $k$ .

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Important Questions on Geometry

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

60

discs each of diameter

21 cm

and thickness

\frac{1}{3} cm

are stacked one above the other to form a right circular cylinder. What is its volume in

m^{3}

π = \frac{22}{7}

MEDIUM

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

The radius of the base of a right circular cylinder is

3 cm

and its curved surface area is

60 {πcm}^{2}

. The volume of the cylinder (in

{cm}^{3}

) is:

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

A cylindrical vessel of radius

3.5 m

is full of water. If

15400 litres

of water is taken out from it, then drop in the water level in the vessel will be:

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

The volume of a solid right circular cylinder is

5236 {cm}^{3}

, and its height is

34 cm

. what is its curved surface area (in

{cm}^{2}

)? (Take

π = \frac{22}{7}

)

MEDIUM

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

A solid hemisphere is attached to the top of a cylinder, having the same radius as that of the cylinder. If the height of the cylinder were doubled (keeping both radii fixed), the volume of the entire system would have increased by

50 %

. By what percentage would the volume have increased if the radii of the hemisphere and the cylinder were doubled (keeping the height fixed)?

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

The radius of the base of a cylinder is $14 cm$ and its curved surface area is $880 {cm}^{2}$ . Its volume (in ${cm}^{3}$ ) is______.

(Take $π = \frac{22}{7}$ )

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

18

m

deep well with diameter

7

m

is dug and the earth from digging is spread evenly to form a platform

18 m \times 14 m

. The height of the platform is_____.

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

If the radius of a right circular cylinder is decreased by

20 %

while its height is increased by

40 %

, then the percentage change in its volume will be:

MEDIUM

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

If the base radius of two cylinders are in ratio

3 : 4

and their heights are in ratio

4 : 9

, then the ratio of their volumes is:

MEDIUM

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

A cylindrical vessel of radius

30 cm

and height

42 cm

is full of water. Its contents are emptied into a rectangular tub of length

75 cm

and breadth

44 cm

. The height (in

cm

) to which the water rises in the tub is: (Take

π = \frac{22}{7}

)

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

The radius of base of cylinder is

14 cm

and its volume is

6160 {cm}^{3} .

The curved surface area (in

{cm}^{2}

) is _____. (Take

π = \frac{22}{7}

)

HARD

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Given are three cylindrical buckets

X, Y, Z

whose circular bases are of radii

1, 2, 3

units, respectively. Initially water is filled in these buckets upto the same height. Some water is then transferred from

Z

X

so that they both have the same volume of water. Some water is then transferred between

X

and

Y

so that they both have the same volume of water. If

h_{Y}, h_{Z}

denote the heights of water at this stage in the buckets

Y, Z,

respectively, then the ratio

\frac{h_{Y}}{h_{Z}}

equals

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

The ratio of the volumes of two cylinders is

x : y

and the ratio of their diameters is

a : b

. What is the ratio of their heights ?

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Find the weight of a solid cylinder of height

35 cm

and radius

14 cm

, if the material of the cylinder weighs

8 \frac{gm}{{cm}^{3}}

_____.

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

The lateral surface area of a cylinder is $352 {cm}^{2}$ . If its height is $7 cm$ , then its volume (in ${cm}^{3}$ ) is:

(Take $π = \frac{22}{7}$ )

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

If the radius of a cylinder is doubled and the height is reduced by

50 %

, then by how much percent does the volume increase/decrease?

EASY

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

The portion of a ditch

48 m

long,

16.5 m

wide and

4 m

deep that can be filled with stones and earth available during excavation of a tunnel, cylindrical in shape, of diameter

4 m

and length

56 m

is (take

π = \frac{22}{7}

)

MEDIUM

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Let A and B be two cylinders such that the capacity of A is the same as the capacity of B. The ratio of the diameters of A and B is

1 : 4

. What is the ratio of the heights of A and B?

HARD

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

In order to measure the volume of irregular shaped stone, Peter kept the stone in a water filled pan having a radius of

5 c m

. If the level of water in the pan increases from

10 c m

17 c m

, then what is the volume of the stone?

MEDIUM

Mathematics>Geometry>Geometry>Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

A well of diameter

3 m

is dug

14 m

deep. The Earth taken out of it has been spread evenly all around it in the shape of a circular ring of width

4 m

to form an embankment. Find the height of the embankment.

If both ends of a hollow cylinder are open. Its height is 20 cm and internal and external radius are 26 cm and 30 cm respectively. Assuming the volume of this hollow cylinder is k cm3, then find the value of k.

Important Questions on Geometry

Learn and Prepare for any exam you want !

If both ends of a hollow cylinder are open. Its height is $20 cm$ and internal and external radius are $26 cm$ and $30 cm$ respectively. Assuming the volume of this hollow cylinder is $k c m^{3}$ , then find the value of $k$ .