12.3 - Volume of a Combination of Solids
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Find the volume of a cube with edge length 2 cm.
💡 Hint: Multiply the edge length by itself twice.
Calculate the volume of a cylinder with radius 3 cm and height 5 cm.
💡 Hint: Remember to separate radius and height in your calculations.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the volume of a hemisphere with a radius of 3?
💡 Hint: Remember the hemisphere volume formula.
True or False: The volume of a combination of solids is always equal to the sum of their volumes.
💡 Hint: Think about how volume works with combined shapes.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
A fountain consists of a cylindrical base with a hemisphere at the top. The cylinder has a height of 10 m and a radius of 3 m. Calculate the total volume of the fountain.
💡 Hint: Use the formulas for both solids and then combine them.
A toy is in the shape of a cone of height 4 cm and radius 3 cm on top of a cylinder with a height of 8 cm and the same radius. Calculate the volume of the toy.
💡 Hint: Break down the toy into individual geometrical solids.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.