Volume of Cylinders and Cones

Front

What is the formula for the volume of a cylinder?

Back

V = π r² h

Front

What is the formula for the volume of a cone?

Back

V = (1/3) π r² h

Front

What is the difference between radius and diameter?

Back

Radius is half the diameter; diameter is twice the radius.

Front

How do you calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

V = π (3)² (5) = 45π cm³ ≈ 141.37 cm³

Front

How do you calculate the volume of a cone with a radius of 4 cm and a height of 6 cm?

Back

V = (1/3) π (4)² (6) = 32π cm³ ≈ 100.53 cm³

Front

What is the volume of a cylinder with a radius of 2 m and a height of 10 m?

Back

V = π (2)² (10) = 40π m³ ≈ 125.66 m³

Front

If the radius of a cone is doubled, how does the volume change?

Back

The volume increases by a factor of 4, since V = (1/3) π (r²) h.

Front

What is the volume of a cone with a radius of 5 in and a height of 12 in?

Back

V = (1/3) π (5)² (12) = 100π in³ ≈ 314.16 in³

Front

What is the relationship between the volume of a cylinder and a cone with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

How do you find the height of a cylinder if the volume is known?

Back

Rearrange the formula: h = V / (π r²).