8.3 Volume of Composite Figures

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 is the formula for the volume of a hemisphere?

Back

V = (2/3)πr³, where r is the radius.

Front

How do you find the volume of a composite figure?

Back

Calculate the volume of each individual shape and then sum them up.

Front

What is the value of π (pi) used in calculations?

Back

Use 3.14 for calculations unless otherwise specified.

Front

What is the volume of a cylinder with a radius of 2 inches and a height of 8 inches?

Back

V = π(2)²(8) = 32π ≈ 100.48 in³.

Front

What is the volume of a cylinder with a radius of 2 inches and a height of 4 inches?

Back

V = π(2)²(4) = 16π ≈ 50.24 in³.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

V = π(3)²(5) = 45π ≈ 141.37 in³.

Front

What is the volume of a cylinder with a radius of 4 inches and a height of 3 inches?

Back

V = π(4)²(3) = 48π ≈ 150.80 in³.

Front

What is the volume of a roll of duct tape with a radius of 2 inches and a height of 3 inches?

Back

V = π(2)²(3) = 12π ≈ 37.70 in³.

Front

How do you calculate the volume of a composite figure that includes a cylinder and a hemisphere?

Back

Add the volume of the cylinder and the volume of the hemisphere.