Multiple choice

The curved surface area of a cylinder is (462 cm^2) and its base area is (346.5 cm^2). What is the volume (in (cm^3)) of the cylinder? (use (\pi = \frac{22}{7})

  1. 2400

  2. 4850

  3. 4800

  4. 2425.5
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

CSA = 2πrh = 462 and base area = πr² = 346.5. Dividing: (2πrh)/(πr²)=2h/r=462/346.5=4/3, so h=2r/3. Volume = πr²h = (πr²)(2r/3)=346.5(2/3)√(346.5/π). From base area, r=10.5, so h=7. Volume = (22/7)(10.5)²*7=2425.5.

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