Andymath.com features free videos, notes, and practice problems with answers! Printable pages make math easy. Are you ready to be a mathmagician?
Lesson
Notes
Questions
\(\textbf{1)}\) Find the volume and surface area of the below cylinder.
\(\textbf{2)}\) A cylinder has volume \( 32\pi \) ft\(^3\) and height \(8\) ft. What is the radius?
See Related Pages\(\)
\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Rectangular Prisms- Volume}\)
\(\,\,\,\,\,\,\,\,\)
\(V=l \cdot w \cdot h…\)
\(\bullet\text{ Rectangular Prisms- Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(SA=lw+wh+lh…\)
\(\bullet\text{ Distance Formula 3D}\)
\(\,\,\,\,\,\,\,\,d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2…}\)
\(\bullet\text{ Diagonal of a Prism}\)
\(\,\,\,\,\,\,\,\,\)
\(d=\sqrt{l^2+w^2+h^2}…\)
\(\bullet\text{ Pyramids- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)
\(V=\frac{1}{3}Bh\,\,\,SA=B+\frac{pl}{2}…\)
\(\bullet\text{ Cones- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)
\(V=\frac{1}{3}\pi r^2 h\,\,\,SA=\pi r^2+\pi r l…\)
\(\bullet\text{ Spheres- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)
\(V=\frac{4}{3}\pi r^3 \,\,\,SA=4 \pi r^2…\)
\(\bullet\text{ Similar figures}\)
\(\,\,\,\,\,\,\,\,\text{Similarity ratio } a:b, \text{Area ratio } a^2:b^2, \text{Volume ratio } a^3:b^3\)
\(\bullet\text{ Nets of Polyhedra}\)
\(\,\,\,\,\,\,\,\,\)
In Summary
The volume of a cylinder is a measure of the amount of space contained within the cylinder. It is calculated by multiplying the base area of the cylinder by its height. The surface area of a cylinder is a measure of the total area of the lateral surface and the two circular ends of the cylinder. It is calculated by adding the area of the two circular ends to the lateral surface area of the cylinder. Volume and surface area of cylinders are typically covered in a high school geometry class. We learn about volume and surface area of cylinders because they are important concepts in geometry and are commonly used in real-world applications, such as in engineering and construction.
About Andymath.com
Andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. If you have any requests for additional content, please contact Andy at tutoring@andymath.com. He will promptly add the content.
Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.
Visit me on Youtube, Tiktok, Instagram and Facebook. Andymath content has a unique approach to presenting mathematics. The clear explanations, strong visuals mixed with dry humor regularly get millions of views. We are open to collaborations of all types, please contact Andy at tutoring@andymath.com for all enquiries. To offer financial support, visit my Patreon page. Let’s help students understand the math way of thinking!
Thank you for visiting. How exciting!