Maths Unit Test
Ch- 14: Surface Area and Volume
[Total -25 Marks]
[Time- 60 min]
[8 marks]
Q.1 Choose the correct option
1. Curved surface area of a cone= _______
a. 𝜋r2 b. 2 𝜋r2
c. 2 𝜋r
d. 𝜋rl
2. Curved surface area of hemisphere= _______
a. 4 𝜋r2 b. 3𝜋r2
c. 2𝜋r2
d. 𝜋r2
3. 1 m3= _______ liters.
a. 10
b. 100
c. 1000
d. 10, 000
4. The radius and height of a cylinder are 1.4 cm and 10 cm respectively.
Then its curved surface area is _____ cm2
a. 22
b. 44
c. 88
d. 176
5. The area of the base of a cylinder is 616 cm 2. Then, the radius of the base of
the cylinder is _______ cm.
a. 7
b. 14
c. 1.4 d. 21
6. The CSA of a cone with radius 7 cm and slant height 15 cm is ______ cm 2
a. 165
b. 330
c. 157
d. 314
7. The surface area of a sphere with radius 7 cm is ______ cm2.
a. 154
b. 308
c. 314
d. 616
8. TSA of a hemisphere with diameter 10 cm is ______ cm2
a. 1504 𝜋 b. 75 𝜋
c. 25 𝜋
d. 15 𝜋
Q.2 Solve the following: [2 marks each]
[8 marks]
1. The radius of a conical tent is 4 m and slant height is 5 m. How many meters canvas of width
125 cm will be used to prepare 12 tents? If the cost of canvas is Rs 20 per meter, then what is
total cost of 12 tents?
2. A common plot of a society is in the form of circle having diameter 5.6 m .Find how many
cubic metre of soil is required to raise the level of ground by 25 cm?
3. How many liters of petrol will be contained in a closed cylindrical tank with hemisphere at
one end having radius 4.2 cm and total height 27.5 cm?
4. The height and the slant height of a cone are 12 cm and 20 cm respectively. Find its volume.
(𝜋= 3.14)
Q.3 Solve the following: [3 marks each]
[9 marks]
2
1. If the Surface area of a spherical ball is 1256 cm , then find the volume of sphere. (𝜋= 3.14).
2. The total surface area of a solid composed of a cone with hemispherical base is 361.1 cm2.
(𝜋=3.14).The figure is as shown in the figure. Find the total height of the solid.
3. The cost of painting the surface