CBSE Questions for Class 9 Maths Surface Areas And Volumes Quiz 11 - MCQExams.com

Mohit painted the outside of a box of length $$2.5m$$, breadth $$2m$$ and height $$1m$$. How much area did he cover, if he painted all except the bottom of the box?
  • $$20m^2$$
  • $$16m^2$$
  • $$54m^2$$
  • $$14m^2$$
An aquarium is in the form of a cuboid whose external measures are $$80cm\times 30cm\times 40cm$$. The base side faces and back face are to be covered with a coloured paper. Find the area of the paper needed?
  • $$3000cm^2$$
  • $$5000cm^2$$
  • $$8000cm^2$$
  • $$7000cm^2$$
The curved surface area of a cylinder of the base radius $$7\text{ cm}$$ and height $$25\text{ cm}$$.
  • $$1100\text{ cm}^3$$
  • $$1100\text{ cm}^2$$
  • $$1408\text{ cm}^3$$
  • $$1408\text{ cm}^2$$
A water tank is 1.4m long, 1m wide and 0.7m deep, then the volume of the tank in litres
  • 780 Litres
  • 860 Litres
  • 980 Litres
  • none of these
Find the total surface area of a hemisphere and a solid hemisphere each of radii $$10\text{ cm}$$ (Use $$\pi = 3.14)$$.
  • $$628\ \text{cm}^{2}$$ and  $$942\ \text{cm}^{2}$$ respectively
  • $$314\ \text{cm}^{2}$$ and  $$471\ \text{cm}^{2}$$ respectively
  • $$1256\ \text{cm}^{2}$$ and  $$1884\ \text{cm}^{2}$$ respectively
  • None of these
The volume of hollow sphere is
  • $$\frac { 4 }{ 3 } \pi \quad \left( { R }^{ 3 }-{ r }^{ 3 } \right) { cm }^{ 3 }$$
  • $$\frac { 2 }{ 3 } \pi \quad \left( { R }^{ 3 }-{ r }^{ 3 } \right) { cm }^{ 3 }$$
  • $$\frac { 1 }{ 2 } \pi \quad \left( { R }^{ 3 }-{ r }^{ 3 } \right) { cm }^{ 3 }$$
  • $$\frac { 5 }{ 6 } \pi \quad \left( { R }^{ 3 }-{ r }^{ 3 } \right) { cm }^{ 3 }$$
A right circular cylinder tunnel of diameter $$2 \text{ m}$$ and length $$40 \text{ cm}$$ is to be constructed from a sheet of iron. The area of the sheet required in$$\text{ m}^2$$ is  
  • $$\dfrac{4}{5}\pi$$
  • $$80\pi$$
  • $$160\pi$$
  • $$200\pi$$
The diameter of the base of a right circular cylinder is $$21\mathrm { cm }$$ and its height is $$10\ \mathrm { cm }$$ . What is the area of the curved surface? 
  • $$660\mathrm { cm } ^ { 2 }$$
  • $$930\mathrm { cm } ^ { 2 }$$
  • $$1320\mathrm { cm } ^ { 2 }$$
  • $$640\mathrm { cm } ^ { 2 }$$
The diameter of a cylinder is $$28$$cm and its height is $$20$$cm find the curved surface area.
  • $$1760$$sq.cm
  • $$17600$$sq.cm
  • $$1706$$sq.cm
  • none of these
The diameter of a cylinder is $$28$$cm and its height is $$20$$cm find the total surface area.
  • $$2992$$
  • $$2090$$
  • $$2900$$
  • $$2099$$
The diameter of a sphere whose surface area is $$346.5$$ $$\mathrm { cm } ^ { 2 }$$ is:
  • $$5.25$$ $$\mathrm { cm }$$
  • $$5.75$$ $$\mathrm { cm }$$
  • $$11.5$$ $$\mathrm { cm }$$
  • $$10.5$$ $$\mathrm { cm }$$
If the surface area of sphere is $$(144\pi)\,{m}^{2}$$, then its volume is  
  • $$(288\pi)\,{m}^{3}$$
  • $$(188\pi)\,{m}^{3}$$
  • $$(300\pi)\,{m}^{3}$$
  • $$(316\pi)\,{m}^{3}$$
If $$'d'$$ is diameter of a sphere, then its volume is-
  • $$\dfrac{2}{3}\pi\ d^{3}$$
  • $$\dfrac{1}{6}\pi\ d^{3}$$
  • $$\dfrac{4}{3}\pi\ d^{3}$$
  • $$\dfrac{1}{24}\pi\ d^{3}$$
If the diameter of the base of a cylinder is $$14$$ cm and its height is $$12$$ cm then the volume of the cylinder in $$m^3$$ is 
  • $$10.1848$$ $$m^3$$
  • $$0.001858$$ $$m^3$$
  • $$0.001848$$ $$m^3$$
  • $$18.48$$ $$m^3$$
Volume of a rectangular box (cuboid) with length $$=2ab,$$ breadth $$=3ac$$ and height $$=2ac$$ is 
  • $$12a^2bc^2$$
  • $$12a^3bc^2$$
  • $$12a^2bc$$
  • $$2ab+3ac+2ac$$
Find the total surface area of the cuboids of length, breadth and height 
$$12 \mathrm { cm } , 10 \mathrm { cm } , 5 \mathrm { cm }$$ respectively.
  • $$460 \ cm^2$$
  • $$490 \ cm^2$$
  • $$360 \ cm^2$$
  • $$230 \ cm^2$$
The largest sphere is carved out of a cube of edge 14 cm. The volume of this sphere is:
  • 1370 $$\text{cm}^3$$
  • 1800 $$\text{cm}^3$$
  • 1437 $$\text{cm}^3$$
  • 1734 $$\text{cm}^3$$
Mark the correct alternative of the following.
The number of surfaces of a hollow cylindrical object is?
  • $$1$$
  • $$2$$
  • $$3$$
  • $$4$$
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
  • $$60{dm}^{3}$$
  • $$600{dm}^{3}$$
  • $$6000{xm}^{3}$$
  • $$60000{dm}^{3}$$
The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.
  • $$ 606.375\,cm^{3}$$
  • $$ 66.3\,cm^{3}$$
  • $$ 60.375\,cm^{3}$$
  • $$ 66.375\,cm^{3}$$
If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere?
  • $$1:8$$
  • $$1:4$$
  • $$1:27$$
  • $$8:1$$
The surface area of a $$10\ cm \times 4\ cm\times 6\ cm$$ brick is 
  • $$84\ cm^2$$
  • $$124\ cm^2$$
  • $$164\ cm^2$$
  • $$180\ cm^2$$
The area of the cardboard needed to make a box of size $$25\ cm\times 15\ cm\times 8\ cm$$ will be 
  • $$390\ cm^2$$
  • $$1390\ cm^2$$
  • $$2780\ cm^2$$
  • $$1000\ cm^2$$
The actual width of a store room is 280 cm. If the scale chosen to make its drawing is 1:7, then the width of the room in the drawing will be 40 cm.
  • True
  • False
Write True or False and justify your answer in the following:
A solid ball is exactly fitted inside the cubical box of side $$a$$. The volume of the ball is $$\frac{4}{3}\pi a^{3}$$

1796958_00f69c7724524120a63be8c6e2b8e45f.png
  • True
  • False
The surface area of a sphere of radius $$7$$ cm is:
  • $$88 cm^2$$
  • $$616 cm^2$$
  • $$661 cm^2$$
  • $$308 cm^2$$
Volume of two spheres are in the ratio $$64 : 27$$. The ratio of their surface areas is:
  • $$3:4$$
  • $$4:3$$
  • $$9:16$$
  • $$16:9$$
If the diameter of a sphere is d, then it's volume is
  • $$\frac{1}{3} \pi d^3$$
  • $$\frac{1}{24} \pi d^3$$
  • $$\frac{4}{3} \pi d^3$$
  • $$\frac{1}{6} \pi d^3$$
The ratio of the radii of two spheres is $$4:5$$. Find the ratio of their total surface areas is:
  • $$5 : 4$$
  • $$4 : 5$$
  • $$16 : 25$$
  • $$25 : 16$$
A hollow cylinder has only
  • curved surface area
  • total surface area
  • volume
  • Perimeter
0:0:1


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