This one is a GMAT problem solving question in solid geometry. Very easy question. Primarily testing two things. 1. Your ability to recall and apply formulas relating to cylinders and 2. read the question carefully. If the base circumference of a cylinder is 88 cm and its height is 12 cm, what is the volume of the cylinder? A) 88 pi cc B) 1056 cc C) 1848 cc D) 14944 cc E) 7392 cc

1. GMAT QUANTITATIVE REASONING
SOLID GEOMETRY –
VOLUME OF CYLINDER
PROBLEM SOLVING
Diagnostic Test

2. Question
If the base circumference of a cylinder is 88 cm and its
height is 12 cm, what is the volume of the cylinder?
A. 88𝜋 cc
B. 1056 cc
C. 1848 cc
D. 14944 cc
E. 7392 cc

3. Step 1
Recap of formulas for cylinder

4. Formula Recap – Right Circular Cylinder
Base circumference. Curved and total surface area. Volume

5. Formula Recap – Right Circular Cylinder
Base circumference. Curved and total surface area. Volume
Base Circumference
2πr

6. Formula Recap – Right Circular Cylinder
Base circumference. Curved and total surface area. Volume
Base Circumference
Curved Surface Area
2πr
2πrh

7. Formula Recap – Right Circular Cylinder
Base circumference. Curved and total surface area. Volume
Base Circumference
Curved Surface Area
Total Surface Area
2πr
2πrh
2πrh + 2πr
2

8. Formula Recap – Right Circular Cylinder
Base circumference. Curved and total surface area. Volume
Base Circumference
Curved Surface Area
Total Surface Area
Volume
2πr
2πrh
2πrh + 2πr
2
πr
2
h

9. Step 2
Compute radius from base circumference;
calculate volume

10. What is the volume of the cylinder?
Base circumference : 88 cm; height: 12 cm
Step 01 : Compute radius from base circumference

11. What is the volume of the cylinder?
Base circumference : 88 cm; height: 12 cm
Base circumference = 2πr = 88 cm
Step 01 : Compute radius from base circumference

12. What is the volume of the cylinder?
Base circumference : 88 cm; height: 12 cm
Base circumference = 2πr = 88 cm
Step 01 : Compute radius from base circumference
i.e., 2 ×
22
7
× r = 88 cm

13. What is the volume of the cylinder?
Base circumference : 88 cm; height: 12 cm
Base circumference = 2πr = 88 cm
Step 01 : Compute radius from base circumference
i.e., 2 ×
22
7
× r = 88 cm Or r =
88 × 7
2 ×22
= 14 cm

14. What is the volume of the cylinder?
Base circumference : 88 cm; height: 12 cm
Base circumference = 2πr = 88 cm
Step 01 : Compute radius from base circumference
i.e., 2 ×
22
7
× r = 88 cm Or r =
88 × 7
2 ×22
= 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr
2
h

15. What is the volume of the cylinder?
Base circumference : 88 cm; height: 12 cm
Base circumference = 2πr = 88 cm
Step 01 : Compute radius from base circumference
i.e., 2 ×
22
7
× r = 88 cm Or r =
88 × 7
2 ×22
= 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr
2
h Volume =
22
7
×14
2
×12

16. What is the volume of the cylinder?
Base circumference : 88 cm; height: 12 cm
Base circumference = 2πr = 88 cm
Step 01 : Compute radius from base circumference
i.e., 2 ×
22
7
× r = 88 cm Or r =
88 × 7
2 ×22
= 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr
2
h Volume =
22
7
×14
2
×12 Volume = 7392 cm3

17. Volume 7392 cc
What is the volume of the cylinder?
Base circumference : 88 cm; height: 12 cm
Base circumference = 2πr = 88 cm
Step 01 : Compute radius from base circumference
i.e., 2 ×
22
7
× r = 88 cm Or r =
88 × 7
2 ×22
= 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr
2
h Volume =
22
7
×14
2
×12 Volume = 7392 cm3

18. Correct Answer : Choice E
Volume 7392 cc
What is the volume of the cylinder?
Base circumference : 88 cm; height: 12 cm
Base circumference = 2πr = 88 cm
Step 01 : Compute radius from base circumference
i.e., 2 ×
22
7
× r = 88 cm Or r =
88 × 7
2 ×22
= 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr
2
h Volume =
22
7
×14
2
×12 Volume = 7392 cm3

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