Test Details

Surface Areas and Volumes

Test

Mar 06, 8:00 PM

120 minutes

Mar 06, 10:00 PM

40.0 marks

MCQ

20 questions

Jayashri Mahadev Bhosale

Class Details

Maths

Class 9th

Maths

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Question Text

Question 1 :
The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per $m^2$ .

Question 2 :
The radius of a sphere is 2r, then its volume will be

Question 3 :
What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6 m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm (Use $\pi$= 3.14).

Question 4 :
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

Question 5 :
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. Find the ratios of the surface areas of the balloon in the two cases.

Question 6 :
The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

Question 7 :
Find the amount of water displaced by a solid spherical ball of diameter 0.21 m.

Question 8 :
State true or false. An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in $cm^3$) is $(\frac{1}{6})\pi r^3$.

Question 9 :
A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

Question 10 :
The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.

Question 11 :
State true or false: Cylinder whose radius = r, height = h, it's total surface area should be $2\pi rh$.

Question 12 :
A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Which box has the greater lateral surface area and by how much?

Question 13 :
The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area of the cone (Use $\pi$ = 3.14).

Question 14 :
State true or false: If the radius of a cylinder is doubled and height is halved, the volume will be doubled.

Question 15 :
A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 $m^3$.If the present depth of water is 1.3 m, find the volume of water already used from the tank.

Question 16 :
The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 $cm^3$ of wood has a mass of 0.6 g.

Question 17 :
Find the surface area of a sphere of diameter 14 cm.

Question 18 :
Find how much steel was actually used, if $\frac{1}{12}$ of the steel actually used was wasted in making the tank that is 4.2 m in diameter and 4.5 m high.Assume $\pi$ =$\frac{22}{7}$.

Question 19 :
State true or false: If the edge of the cube is a, then Total surface area of cube = $6a^{2}$

Question 20 :
If we have a cuboid whose length, breadth and height are 15 cm, 10 cm and 20 cm respectively, then its surface area would be:

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