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# Find Radius Given Volume Of Cone 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 cone is a 3D shape that has a circular base and a vertex at the top. The volume of a cone formula is V = ⅓ πr^2h, where r is the radius of the circular base and h is the height of the cone.

Math teachers can provide “Find radius given volume of cone and height worksheet” to their students. This worksheet includes a variety of problems that require students to calculate the radius of a cone using the given information, such as the height and volume of the cone.

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 cone is 9 units and the volume of the cone is 75π cubic units, then the formula V = ⅓ πr^2h becomes 75π= ⅓ πr^2(9).

On further simplification, it becomes 75π= 3r^2π and after dividing both sides by 3π it becomes 25=r^2. Taking square root on both sides, ±5=r, but the radius cannot be negative. Therefore, the radius of the cone is 5 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 cone is 9 units and the volume of the cone is 75π cubic units, then the formula V = ⅓ πr^2h beco...

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