Volume of Composite Solids

This video tutorial explains how to find the volume of composite solids through examples. It covers calculating the volume of a cylinder with hemispheres, a cone with a smaller cone removed, and a rectangular prism with a pyramid on top. The tutorial provides step-by-step instructions and emphasizes the importance of rounding results appropriately.

What is the first step in finding the volume of a composite solid consisting of a cylinder with hemispheres?

• Measure the height of the cylinder.

• Determine the weight of the cylinder.

• Find the volume of the cylinder.

• Calculate the surface area of the cylinder.

How do you find the radius of a cylinder if the diameter is given as 4.6?

• Add 2 to the diameter.

• Multiply the diameter by 2.

• Divide the diameter by 2.

• Subtract 2 from the diameter.

What formula is used to calculate the volume of a sphere?

• 4/3 × π × radius^3

• 2 × π × radius

• π × diameter

• π × radius^2 × height

What is the rounded volume of the composite solid in the first example?

• 307.57 cm³

• 305.57 cm³

• 300.57 cm³

• 303.57 cm³

In the second example, what is the shape of the solid before the top is cut off?

• A cylinder

• A rectangular prism

• A large cone

• A sphere

How do you calculate the volume of a cone?

• 2 × π × radius × height

• 4/3 × π × radius^3

• π × radius^2 × height

• 1/3 × π × radius^2 × height

What is the radius of the smaller cone if its diameter is 4?

• 2

• 4

• 8

• 6

What is the rounded volume of the composite solid in the second example?

• 367.57 cm³

• 365.57 cm³

• 370.57 cm³

• 360.57 cm³

What are the two components of the third example's composite solid?

• A cylinder and a sphere

• A rectangular prism and a rectangular pyramid

• A sphere and a cone

• A cone and a cylinder

How do you find the volume of a rectangular prism?

• Multiply the three dimensions together

• Add the three dimensions together

• Subtract the height from the width

• Divide the length by the width