This set of Aptitude Questions and Answers (MCQs) focuses on “Cylinder”.
1. Which of the following is the correct expression for the volume of a cyclinder?
a) πrh2
b) 4πr2h
c) πr2h
d) 2πrh
View Answer
Explanation: Let the radius = r, height = h.
The correct formula for the volume of a cylinder = πr2h.
2. If the radius of a cylinder is 7 cm and height is 10 cm then, what will be the volume (in cubic cm) of this cylinder?
a) 1540
b) 1690
c) 1850
d) 1270
View Answer
Explanation: Given,
r = 7 cm, h = 10 cm
Volume of cylinder = πr2h
= (22 / 7) * (7)2 * 10
= 1540 cm3
3. The diameter of cylinder is 14 cm and the height is 20 cm. What will be the volume of this cylinder?
a) 3650 cm3
b) 3080 cm3
c) 3270 cm3
d) 3640 cm3
View Answer
Explanation: Given,
d = 14 cm, h = 20 cm
r = d / 2 = 14 / 2 = 7 cm
Volume = πr2h
= (22 / 7) * (7)2 * 20
= 3080 cm3
4. A large cylindrical vessel has a radius of 10 m and height of 14 m. How much will this vessel hold in liters when it is half filled?
a) 2200000
b) 4400000
c) 3400000
d) 4200000
View Answer
Explanation: Given,
r = 10 m, h = 14 m
Volume of vessel = πr2h
= (22 / 7) * (10)2 * (14)
= 4400 m3
Half volume = (1 / 2) * 4400 m3
= 2200 m3
1m3 = 1000L
Half volume in L = (2200) * 1000
= 2200000 L
5. If the volume of a cylinder is 1000cm3 with the height of 7cm then what will be the radius of this cylinder?
a) 7.33 cm
b) 5.93 cm
c) 6.74 cm
d) 5.19 cm
View Answer
Explanation: Given,
Volume = 1000cm3, h = 7cm
Let the radius be r cm.
Volume = πr2h
➩ 1000 = (22 / 7) * r2 * 7
➩ 1000 = 22 * r2
➩ 1000 / 22 = r2
➩ 6.74 cm = r
6. Which of the following is the correct option related to the curved surface area of a cylinder?
a) 3πrh
b) 4πrh
c) πr2h
d) 2πrh
View Answer
Explanation: Let the radius = r, height = h.
The correct formula for the curved surface area of a cylinder = 2πrh.
7. If the radius of a cylindrical vessel is 5 cm and height is 7 cm then what will be the curved surface area (in sq. cm) of this vessel?
a) 220
b) 250
c) 205
d) 225
View Answer
Explanation: Given,
r = 5 cm, h = 7 cm
Curved surface area = 2πrh
= 2 * (22 / 7) * 5 * 7
= 220 cm2
8. If the curved surface area and volume of a cylindrical vessel are equal, then what will be the radius of this vessel?
a) 6 units
b) 1 unit
c) 2 units
d) 4 units
View Answer
Explanation: Let the radius = r, height = h.
According to the question,
Volume = Curved surface area
πr2h = 2πrh
r = 2 units
9. Which of the following is the correct option representing the total surface area of a completely closed cylinder?
a) πrh + 2πr2
b) 2πrh + 2πr2
c) 2πrh + πr2
d) πrh + πr2
View Answer
Explanation: Let the radius = r, height = h
Total surface area of a cylinder = 2πrh + 2πr2.
10. What will be the curved surface area of a cylinder as compared to the original cylinder if its radius is doubled and height is halved?
a) Same
b) Doubled
c) Halved
d) Tripled
View Answer
Explanation: Let the radius of original cylinder = r, height = h
Curved surface area of original cylinder = 2πrh
Radius of new cylinder = 2r, height = h / 2
Curved surface area of new cylinder = 2π * (2r) * (h / 2)
= 2πrh
Thus, original curved surface area = new curved surface area.
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