Volume of a Cone

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 does 'r' represent in the volume formula of a cone?

Back

'r' represents the radius of the base of the cone.

Front

What does 'h' represent in the volume formula of a cone?

Back

'h' represents the height of the cone.

Front

Calculate the volume of a cone with a radius of 3 cm and a height of 5 cm.

Back

V = (1/3)π(3)²(5) = 15π cm³ ≈ 47.12 cm³.

Front

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

Back

The diameter is twice the radius: d = 2r.

Front

What is the formula for the area of a circle?

Back

A = πr².

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(2r)²h = (4/3)πr²h.

Front

What is the volume of a cone with a radius of 4 m and a height of 9 m?

Back

V = (1/3)π(4)²(9) = 48π m³ ≈ 150.80 m³.

Front

What is the unit of measurement for volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), and liters (L).

Front

How do you convert cubic inches to cubic centimeters?

Back

1 cubic inch = 16.387 cm³.