Michael compared the volumes of two cylinders.Cylinder #1 has a radius of 5 cm and height of 18 cm.Cylinder #2 has the same radius as cylinder #1 but has a height of 20 cm.About how much greater is the volume of cylinder #2 than cylinder #1?
Question
Michael compared the volumes of two cylinders.Cylinder #1 has a radius of 5 cm and height of 18 cm.Cylinder #2 has the same radius as cylinder #1 but has a height of 20 cm.About how much greater is the volume of cylinder #2 than cylinder #1?
Solution
The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.
For Cylinder #1: The radius (r) is 5 cm and the height (h) is 18 cm. So, the volume (V1) = π * (5 cm)² * 18 cm = 450π cm³.
For Cylinder #2: The radius (r) is the same as Cylinder #1, which is 5 cm, but the height (h) is 20 cm. So, the volume (V2) = π * (5 cm)² * 20 cm = 500π cm³.
The difference in volume between Cylinder #2 and Cylinder #1 is V2 - V1 = 500π cm³ - 450π cm³ = 50π cm³.
So, the volume of Cylinder #2 is about 50π cm³ greater than the volume of Cylinder #1.
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