Home » Test Prep » ACT Section 2: Math » What is the total area of the bases of the cylinder?
The volume of a cylinder is 486π cubic units. If the height of the cylinder is six units, what is the total area of the bases of the cylinder?
A. 9π square units
B. 18π square units
C. 27π square units
D. 81π square units
E. 162π square units
Correct Answer: E
Explanation/Reference:
Explanation:
The volume of a cylinder is equal to πr2h, where r is the radius of the cylinder and h is the height of the cylinder. If the height of a cylinder with a volume of 486π cubic units is six units, then the radius is equal to: 486π = πr2 x 6
486 = 6r2 81 = r2 r = 9A cylinder has two circular bases. The area of a circle is equal to pπ2, so the total area of the bases of the cylinder is equal to 2πr2, or 2π x 92 = 2π x81 = 162π square units.
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