Test Details

Surface Areas and Volumes

Maths

Jan 22, 7:00 PM

80 minutes

Jan 22, 8:20 PM

64.0 marks

MCQ

23 questions

Shahid Hussain

Adaptive and blank

Class Details

Science &Maths

Class 8&7

Science &Maths

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Question Text

Question 1 :
Water flows through a cylindrical pipe of internal diameter 7cm at 5 metre per second. Calculate the volume, in litres, of water discharged by the pipe in one minute,<br/>

Question 2 :
The volume of a right circular cylinder can be obtained form its curved surface area by multiplying it by its 

Question 3 :
The volume of a right circular cylinder whose curved surface area is $2640c{m^2}$ and circumference of its base is $66cm$, is :

Question 4 :
Find the volume of the largest cylinder formed when a rectangular piece of paper 44 cm by 33 cm is rolled along its shorter side.<br/><br/>

Question 5 :
A swimming pool is in the form of a cylinder of radius $20$ m. The volume of water in the cylindrical pool is $\displaystyle 3140{ m }^{ 3 }$. Find its depth.

Question 6 :
A metal cube of side $11 $ cm is completely submerged in water contained in a cylindrical vessel with diameter $28 $ cm. Find the rise in the level of water.

Question 7 :
Circumference of the base of a cylinder is 88 cm and height of the cylinder is 42 cm Its volume is

Question 8 :
The volume of a right circular cylinder whose height is $40 cm$ and the circumference of its base is $66 cm$ is

Question 9 :
The ratio of the radii of two cylinders is $\displaystyle 1:\sqrt{3}$ and their heights are in the ratio $2 : 3$. The ratio of their volumes is

Question 10 :
The radii of two cylinders are in the ratio $2 : 3$ and their heights are in the ratio $5 : 3$. then what is the ratio of their volumes ?

Question 11 :
The area of the floor of a room is $15{m}^{2}$. If its height is $4m$, then the volume of the air contained in the room is

Question 12 :
A rectangular sheet of paper $44 $ cm $\times\, 18$ cm is rolled along its length and a cylinder is formed. The volume of the cylinder so formed is equal to $\left(\text{Take } \displaystyle \pi\, =\, \frac{22}{7}\right)$:

Question 14 :
A cylindrical tank has base radius $7$ m and height $9$ m. If $\dfrac{2}{3}$ of the tank is filled with water find the volume of water In the tank. [ Use $\pi =\cfrac {22}{7}$]

Question 15 :
A cube with  an edge length $4$ is divided into $8$ identical cubes. Calculate the difference between the combined surface area of the $8$ smaller cubes and the surface area of the original cube.

Question 16 :
The internal length, breadth and height of a  box are $30$ cm, $24$ cm and $15$ cm. Find the largest number of cubes that can be placed inside this box if the edge of each cube is $5$ cm.

Question 17 :
A rectangular piece of paper is $24 cm$ long and $22 cm$ wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder is:

Question 18 :
If the radius of a right circular cylinder open at both the ends is decreased by $25\%$ and the height of the cylinder is increased by $25\%$, then the surface area of the cylinder thus formed is:

Question 19 :
Water flows through a cylindrical pipe of internal diameter $7$ cm at $2$ m per second. If the pipe is always half full then what is the volume of water (in litres) discharged in $10$ minutes ?

Question 20 :
Water is flowing at the rate of $3$ km/hr through a circular pipe of $20 cm$ internal diameter into a circular cistern of diameter $10 m$ and depth $2 m$. In how much time will the cistern be filled?

Question 21 :
The circumference of the base of a circular cylinder is $\displaystyle 6\pi $ cm. The height of the cylinder is equal to the diameter of the base. How many litres of water can it hold?

Question 22 :
Curved surface of right circular cylinder is $4.4m^2$, radius of base is $0.7$m then the height is (Take<br>$\pi=\displaystyle\frac{22}{7}$

Question 23 :
The sum of the length, breadth and depth of cuboid is 19 cm and the diagonal is$\displaystyle 5\sqrt{5}.$ Its surface area is

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