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The circumference of the circular base of a cylinder is 44 cm and its height is 15 cm. What is the volume of the cylinder?
  • a)
    1155 cm3
  • b)
    1540 cm3
  • c)
    2310 cm3
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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Circumference of the circular base

The circumference of the circular base of the cylinder is given as 44 cm.

Radius of the circular base

The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius, r = C/(2π).

Given that the circumference is 44 cm, we can substitute the value in the formula to find the radius:
r = 44/(2π) ≈ 7 cm.

Height of the cylinder

The height of the cylinder is given as 15 cm.

Volume of the cylinder

The formula to calculate the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.

Substituting the values we have:
V = π(7^2)(15)
V = π(49)(15)
V ≈ 2310 cm³.

Therefore, the volume of the cylinder is approximately 2310 cm³, which corresponds to option C.
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