Volume of Composite Solids

Front

What is the formula for finding the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

What is a composite solid?

Back

A composite solid is a three-dimensional shape made up of two or more simple shapes.

Front

How do you find the volume of a composite solid?

Back

Calculate the volume of each simple shape separately and then add them together.

Front

What is the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the volume of a sphere?

Back

Volume = (4/3) × π × r³, where r is the radius.

Front

What is the volume of a cone?

Back

Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

How do you find the volume of the empty space inside a solid?

Back

Subtract the volume of the solid from the volume of the outer shape.

Front

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

Back

Volume = π × (3)² × 5 = 45π ≈ 141.37 cm³.

Front

What is the volume of a roll of duct tape with a radius of 2.5 cm and a height of 5 cm?

Back

Volume = π × (2.5)² × 5 ≈ 98.17 cm³.

Front

If a composite solid consists of a cylinder and a cone, how do you find the total volume?

Back

Calculate the volume of the cylinder and the cone separately, then add them together.