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Answer:
The volume of the finished cylinder is
Step-by-step explanation:
To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).
Note: The hole is also cylindrical in shape.
The volume of a cylinder is given as:
where r = radius, h = height
VOLUME OF THE HOLE
The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)
Its volume is:
VOLUME OF THE ORIGINAL CYLINDER
The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)
Its volume is:
Hence, the volume of the finished cylinder will be:
The volume of the finished cylinder is