Worksheet

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.

Grade 8
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 = 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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