Cylinders and Spheres Practice

Identify the bases and the perpendicular altitude.

Distinguish the sphere's surface definition from a solid cylinder or cone.

Check whether the cutting plane contains the center.

Use area of a circular base, not its circumference.

Separate sphere surface area from sphere volume.

Square the radius, then multiply by the perpendicular height.

Square the radius, then multiply by the perpendicular height.

Square the radius, then multiply by the perpendicular height.

Square the radius, then multiply by the perpendicular height.

Square the radius, then multiply by the perpendicular height.

Use only the curved rectangle.

Include the curved surface and both circular bases.

Use only the curved rectangle.

Include the curved surface and both circular bases.

Include the curved surface and both circular bases.

Cancel pi, isolate r squared, and retain the positive square root.

Cancel pi, isolate r squared, and retain the positive square root.

Cancel pi, isolate r squared, and retain the positive square root.

Cancel pi, isolate r squared, and retain the positive square root.

Cancel pi, isolate r squared, and retain the positive square root.

Use square units with 4πr².

Use cubic units and retain the factor 4/3.

Use square units with 4πr².

Use cubic units and retain the factor 4/3.

Use square units with 4πr².

Add cylinder and half-sphere volumes; the shared base has no volume to subtract.

Add cylinder and half-sphere volumes; the shared base has no volume to subtract.

Add cylinder and half-sphere volumes; the shared base has no volume to subtract.

Add cylinder and half-sphere volumes; the shared base has no volume to subtract.

Add cylinder and half-sphere volumes; the shared base has no volume to subtract.

Subtract cross-sectional areas before multiplying by the shared height.

Subtract cross-sectional areas before multiplying by the shared height.

Subtract cross-sectional areas before multiplying by the shared height.

Subtract cross-sectional areas before multiplying by the shared height.

Subtract cross-sectional areas before multiplying by the shared height.

Square the radius scale factor but use the height scale factor once.

Square the radius scale factor but use the height scale factor once.

Square the radius scale factor but use the height scale factor once.

Square the radius scale factor but use the height scale factor once.

Square the radius scale factor but use the height scale factor once.

Use cylinder height and circumference as the two legs of the net rectangle.

Use cylinder height and circumference as the two legs of the net rectangle.

Use cylinder height and circumference as the two legs of the net rectangle.

Use cylinder height and circumference as the two legs of the net rectangle.

Use cylinder height and circumference as the two legs of the net rectangle.

Divide transferred volume by the cylinder's circular base area.

Divide transferred volume by the cylinder's circular base area.

Divide transferred volume by the cylinder's circular base area.

Divide transferred volume by the cylinder's circular base area.

Divide transferred volume by the cylinder's circular base area.