4gmat diagnostic test q15 - gmat problem solving - solid geometry
TRANSCRIPT
GMAT QUANTITATIVE REASONING
SOLID GEOMETRY –
VOLUME OF CYLINDER
PROBLEM SOLVING
Diagnostic Test
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
Step 1
Recap of formulas for cylinder
Formula Recap – Right Circular CylinderBase circumference. Curved and total surface area. Volume
Formula Recap – Right Circular CylinderBase circumference. Curved and total surface area. Volume
Base Circumference
2πr
Formula Recap – Right Circular CylinderBase circumference. Curved and total surface area. Volume
Base Circumference
Curved Surface Area
2πr
2πrh
Formula Recap – Right Circular CylinderBase circumference. Curved and total surface area. Volume
Base Circumference
Curved Surface Area
Total Surface Area
2πr
2πrh
2πrh + 2πr2
Formula Recap – Right Circular CylinderBase circumference. Curved and total surface area. Volume
Base Circumference
Curved Surface Area
Total Surface Area
Volume
2πr
2πrh
2πrh + 2πr2
πr2h
Step 2
Compute radius from base circumference;
calculate volume
What is the volume of the cylinder?Base circumference : 88 cm; height: 12 cm
Step 01 : Compute radius from base circumference
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
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 ×227× r = 88 cm
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 ×227× r = 88 cm Or r =
88 × 72 ×22 = 14 cm
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 ×227× r = 88 cm Or r =
88 × 72 ×22 = 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr2h
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 ×227× r = 88 cm Or r =
88 × 72 ×22 = 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr2h Volume =
227×14
2×12
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 ×227× r = 88 cm Or r =
88 × 72 ×22 = 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr2h Volume =
227×14
2×12 Volume = 7392 cm3
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 ×227× r = 88 cm Or r =
88 × 72 ×22 = 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr2h Volume =
227×14
2×12 Volume = 7392 cm3
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 ×227× r = 88 cm Or r =
88 × 72 ×22 = 14 cm
Step 02 : Compute volume. r = 14 cm and h = 12 cm
Volume of cylinder = πr2h Volume =
227×14
2×12 Volume = 7392 cm3
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