Final answer:
To find the volume of a cylinder, use the formula V = πr²h, where r is the radius of the base and h is the height. Substitute the given values and solve to find the volume.
Step-by-step explanation:
To find the volume of a cylinder, we use the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height. In this case, we are given the circumference of the base, which is 88 cm. The formula for circumference is C = 2πr, so we can solve for r by dividing the circumference by 2π. Substitute the value of r, along with the given height of 15 cm, into the formula for volume and calculate to find the answer.
Using the given circumference of 88 cm, we can find the radius (r) as follows:
C = 2πr
88 = 2πr
r = 88 / (2π)
To find the volume (V) of the cylinder:
V = πr²h
V = πr² * 15
Substitute the value of r and the given height:
V = π * (88 / (2π))² * 15
Calculate the expression to find the volume, which is approximately 1540 cm³.
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