Surface Area of Combined Figures

Q. What will be the cost of making a closed cone of tin sheet having radius of base 6 m and slant height 8 m if the rate of making is
Rs.10 per sq.m ?

Q. If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area. ( $\mathrm{\pi }=3.14$ )

Q. Volume of a cone is 1212 cm³ and its height is 24 cm. Find the surface area of the cone.($\mathrm{\pi }=\frac{22}{7}$)

Q.

Question 7
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is 1:2:3.

Q.

Find the length of cloth used in making a conical pandal of height 100 m and base radius 240 m, if the cloth is 100$\pi$m wide.

Q.

The dome of a building is hemispherical in shape, having radius of 7 m. It has to be painted at Rs.5 per sq. m. Find the total cost of painting the dome.

1. Rs.720

2. Rs.1720

3. Rs.1400

4. Rs.1540

Q. A 8 cm cube is cut into as many 2 cm cubes as possible. Then, the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes, is

Q.

The circus tent is in the shape of right circular cone, with base radius and height from the ground as 12 m and 16 m respectively. The area of tarpaulin required to make the tent is(Use $\Pi$ = 3.14)

1. 753.6

2. 824

3. 882.4

4. 656.6

Q.

There is a tent in conical shape. The slant height of the tent is $14m.$ If the curved surface area of cone is $308m^2$ then base area of tent is

1. 132

2. 224

3. 254

4. 154

Q. A toy is in the from of a cone of radius $3.5cm$ mounted on a hemisphere of same radius. The total height of the toy is $15.5cm$. Find the total surface of the toy (in $c{m}^2$).

Q.

A hemispherical bowl fits exactly on the open surface of a right cone with height $5cm$ and radius $3.5cm$. The volume of the solid formed is

[Take $\pi =\frac{22}{7}$]

1. 132 cm³

2. 144 cm³

3. 154 cm³

4. 169 cm³

Q. Two cubes each with 8 cm edge are joined end to end. The surface area of the resulting cuboid is:

1. 1440 $c{m}^2$
2. 830 $c{m}^2$
3. 640 $c{m}^2$
4. 560 $c{m}^2$

Q. If a face of a cube has area equal to 6 square cm, then what is the total surface area of the cube?

1. 6 square cm
2. 12 square cm
3. 24 square cm
4. 36 square cm

Q.

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy. [4 MARKS]

Q.

Lateral surface area of the cube is _________.

Q. If a face of a cube has area equal to 6 square cm, then what is the total surface area of the cube?

1. 6 square cm
2. 12 square cm
3. 24 square cm
4. 36 square cm

Q.

There is cylindrical platform on the ground. On top of this, I place a cylindrical flag pole which is hollow. I want to paint both the flag pole and the platform with blue paint. What is the area that needs to be painted?

1. C.S.A of pole + C.S.A of platform – Base area of pole

2. C.S.A of pole + C.S.A of platform

3. C.S.A of pole + C.S.A of platform + Base area of pole + Base area of platform

4. C.S.A of pole + C.S.A of platform + Base area of platform – Base area of pole

Q. Find the curved surface area of a hemisphere if its total surface area is 462 cm2 .

Q.

The circus tent is in the shape of right circular cone, with base radius and height from the ground as 12 m and 16 m respectively. The area of tarpaulin required to make the tent is(Use $\Pi$ = 3.14)

1. 656.6 $m^2$

2. 753.6 $m^2$

3. 882.4 $m^2$

4. 824 $m^2$

Q.

Raghu wants to make a closed aluminium cone for his science project. The slant height and radius of the cone are $10cm$ and $7cm$ respectively. The area of aluminium sheet required to make the cone is
[Use $\pi =\frac{22}{7}$]

1. 

2. 

3. 

4. 

Q. If a face of a cube has area equal to 6 square cm, then what is the total surface area of the cube?

1. 12 square cm
2. 36 square cm
3. 24 square cm
4. 6 square cm

Q. A toy is in the form of a cone mounted on a hemisphere of radius $3.5$ cm The total height of the toy is $15.5$ cm Then the total surface area is (Use $\pi =22/7$)

1. $214.5$ $c{m}^2$
2. $212.5$ $c{m}^2$
3. $215.5$ $c{m}^2$
4. $210.5$ $c{m}^2$

Q.

An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and the height of the cylindrical part is 50 m. If the diameter of the base is 168 m, find the quantity of canvas required to make the tent. Allow 20% extra for folds and for stitching. Give your answer to the nearest $m^2$ .

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Q. A circus tent is cylindrical up to a height of $3m$ and conical above it If its diameter is $105m$ and slant height of the conical portion is $53m$ then area of canvas needed to build the tent is:

1. $9730m^2$
2. $9736m^2$
3. $9790m^2$
4. $9735m^2$

Q. The internal and external diameters of a hollow hemispherical vessel are $24cm$ and $25cm$, respectively. The cost to paint $1{cm}^2$ surface is $Rs.0.05$. Find the total cost to paint the vessel all over. (use $\pi =\frac{22}{7}$)

1. $Rs.2100$
2. $Rs.1867$
3. None of the above
4. $Rs.1245$

Q.

water is supplied to a city population for general use from a river through a cylindrical pipe. the radius of the cross section of pipe is 10cm. the speed of water through the pipe is 18km per hour. find the quantity of water in litres which is supplied to the city in 2 hours.

Q. Find the volume of a square pyramid with base edge length $9cm$ and height $14cm$.

Q. if a right circular cone of vertical height h 20cm has a volume of 1232 cubic cm, find the CSA

Q.

A reservoir is in the form of a rectangular parallelepiped.its length is 20m.if 18kl of water is removed from reservoir, the water level goes down by 15cm.find the width of the reservoir.

Q.

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface area of the article (in $c{m}^2$).

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