Volume of a figure is measure of the amount of space it occupies. The radius of the considered cylinder is 24.5 inches.
Suppose that a cylinder has base's area as B sq. units and height h units, then its volume is
V = B × h cubic units.
The base of a cylinder is circular. If its radius is known to be of r units, then we have B = 2×π× r sq. units.
Thus,
V = B × h = 2×π× r × h sq. units.
For the given case, it is given that the cylinder has volume 980π cubic inches.
And that its height is 20 inches.
Thus,
V = B × h = 2×π× r × h
980π = 2πr × 20
Dividing both sides by 20π, we get:
49 = 2r
r = 49/2 = 24.5 inches.
Thus,
The radius of the considered cylinder is 24.5 inches.
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