Volume Formulas

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 = ⅓ π r² h

Front

What is the formula for the volume of a PRISM?

Back

V = B*h (where B is the area of the base and h is the height)

Front

What is the formula for the volume of a SPHERE?

Back

V = (4/3)πr³

Front

What does 'B' represent in the volume formula for a prism?

Back

'B' represents the area of the base of the prism.

Front

How do you calculate the volume of a cylinder given the radius and height?

Back

Use the formula V = π r² h, where r is the radius and h is the height.

Front

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

Back

The volume of the cone is 1/3 of the volume of the cylinder.

Front

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

Back

The volume increases by a factor of 8, since V = (4/3)π(2r)³ = 8(4/3)πr³.

Front

What is 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 (approximately 141.37 cm³).

Front

What is the volume of a cone with a radius of 4 cm and a height of 6 cm?

Back

V = ⅓ π(4)²(6) = 32π cm³ (approximately 100.53 cm³).