Volume of Composite Figures

Front

What is the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

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

Front

How do you find the volume of a rectangular prism?

Back

Volume = l × w × h, where l is length, w is width, and h is height.

Front

What is the volume of a pyramid?

Back

Volume = (1/3)Bh, where B is the area of the base and h is the height.

Front

What is a composite figure?

Back

A composite figure is a shape that is made up of two or more simple shapes.

Front

How do you calculate the volume of a composite figure?

Back

Find the volume of each simple shape and then add or subtract them as necessary.

Front

What is the volume of a hemisphere?

Back

Volume = (2/3)πr³, where r is the radius.

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π ≈ 141.37 cm³.

Front

What is the volume of a composite solid made of a cylinder and a hemisphere on top?

Back

Volume = Volume of cylinder + Volume of hemisphere.

Front

How do you find the volume of a composite figure with a part removed?

Back

Calculate the volume of the whole figure and subtract the volume of the removed part.