Surface area and volume of prisms, cylinders, pyramids, cones and spheres

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Learn it Prism and cylinder: V = base area × height. Pyramid and cone: V = ⅓ × base area × height. Sphere: $V = \frac{4}{3}\pi r^3$. Surface area = the total area of all the faces.

Example: Cylinder, radius 3 cm, height 10 cm: surface area?

Two circles: $2\pi r^2 = 2\pi(9) \approx 56.5$.
The curved side: $2\pi r h = 2\pi(3)(10) \approx 188.5$.
Total ≈ 245.0 cm².

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