Introduction to Volume of Cylinders

12 m³

15 m³

18 m³

27 m³

The height of the cylinder is equal to the diameter of the sphere.

The height of the cylinder is two times the diameter of the sphere.

The radius of the sphere is half the height of the cylinder.

The diameter of the sphere is equal to the radius of the cylinder.

The volume of the sphere is two-thirds the volume of the cylinder.

The sphere has a radius of 10 cm.

The diameter measure is substituted into the formula to find the volume.

The radius is half the diameter.

The formula to apply is V = (4/3)Bh

The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

Yes, she is correct.

No, she used the diameter instead of the radius measure.

No, she should have multiplied 4 and 10 first before applying the exponent.

No, her units should be squared for volume.

$$V\ =\ \frac{9}{2}\pi\ m^3$$

$$V\ =\ \frac{125}{6}\pi\ m^3$$

$$V\ =\ \frac{500}{3}\pi\ m^3$$

$$V\ =\ \frac{4000}{3}\pi\ m^3$$