Volume Cylinder/Cones

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the volume of a cone with a radius of 3 cm and a height of 4 cm?

Back

V = (1/3)π(3)²(4) = 12π cm³ ≈ 37.68 cm³.

Front

What is the relationship between the diameter and radius of a circle?

Back

The radius is half of the diameter. r = d/2.

Front

If a cone has a height of 10 cm and a base radius of 5 cm, what is its volume?

Back

V = (1/3)π(5)²(10) = (1/3)π(25)(10) = 250/3π cm³ ≈ 261.8 cm³.

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

V = πr²h = π(4)²(10) = 160π cm³ ≈ 502.65 cm³.

Front

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

Back

The volume of a cone is one-third that of a cylinder: V_cone = (1/3)V_cylinder.

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

What shape is formed when a cone is rotated around its height?

Back

A cone is formed.

Front

What is the volume of a cone with a diameter of 6 inches and a height of 9 inches?

Back

V = (1/3)π(3)²(9) = 27π in³ ≈ 84.82 in³.

Front

How do you find the volume of a cone if you only know the slant height?

Back

You need the radius and height to use the volume formula. The slant height alone is not sufficient.