The volume of a right circular cylinder is 554.4 cm³ and its height is 10 cm.…
2023
The volume of a right circular cylinder is 554.4 cm³ and its height is 10 cm. What is the perimeter of the base of the cylinder? (Use )
- A.
17.6 cm
- B.
26.4 cm
- C.
22 cm
- D.
44 cm
Attempted by 2 students.
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Correct answer: B
The volume of a right circular cylinder is:
Given:
Volume = 554.4 cm³
Height = 10 cm
π = 22/7
Substituting the values:
554.4 = (22/7) × r² × 10
554.4 = (220/7) × r²
r² = (554.4 × 7)/220
r² = 17.64
r = √17.64 = 4.2 cm
The perimeter of the circular base is its circumference:
C = 2 × (22/7) × 4.2
C = 26.4 cm
Therefore, the perimeter of the base of the cylinder is 26.4 cm.