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# Find Radius Of A Cylinder Given Volume And Height Worksheet

## 8 problems   In 8th Grade, students learn how to find the measures of 3D figures such as cylinders, cones, spheres, and hemispheres when the volume of the figure is given. A cylinder is a 3D shape that has two circular bases of equal size and a curved surface that connects the two bases.

The volume of a cylinder formula is V = πr^2h, where r is the radius of the circular base and h is the height of the cylinder. Math teachers can provide “Find radius of a cylinder given volume and height worksheet” to their students. This worksheet includes a variety of problems that require students to calculate the radius of a cylinder using the given information, such as the height and volume of the cylinder.

Volume
8.G.C.9

To solve this worksheet, students need to substitute the given values of volume and height in the formula V = πr^2h. For example, if the height of a cylinder is 5 units and the volume of the cylinder is 80π cubic units, then the formula V = πr^2h becomes 80π= πr^2(5). On further simplification, it becomes 80π= 5r^2π and after dividing both sides by 5π it becomes 16=r^2. Taking square root on both sides, ±4=r, but the radius cannot be negative. Therefore, the radius of the cylinder is 4 units.

To solve this worksheet, students need to substitute the given values of volume and height in the formula V = πr^2h. For example, if the height of a cylinder is 5 units and the volume of the cylinder is 80π cubic units, then the formula V =&...

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