A cylindrical storage container has a base radius of 3 cm, it is designed with sections whose heights form an arithmetic progression, starting from 2 cm for the bottom section and reaching 10 cm for the topmost section, covering a total of 5 sections. What is the total volume of the container? (Use π = 3.14 )
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 847.8 cm3.
Base area = πr2 = 3.14 × 32 = 28.26 cm2
Heights are 2 cm, 4 cm, 6 cm, 8 cm, and 10 cm
Sum of heights = 2 + 4 + 6 + 8 + 10 = 30 cm
Total volume = Base area × Sum of heights = 28.26 × 30 = 847.8 cm3