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All 9 Flashcards — Volume & surface area
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Question
Volume of a sphere?
Answer
V = ⁴⁄₃πr³.
Question
Surface area of a sphere?
Answer
A = 4πr².
Question
Volume of a cone?
Answer
V = ⅓πr²h — one third of the cylinder.
Question
Curved surface area of a cone?
Answer
πrl, where l is the slant height = √(r² + h²).
Question
Volume and surface area of a cylinder?
Answer
V = πr²h; A (closed) = 2πr² + 2πrh.
Question
Volume of a pyramid or cone?
Answer
⅓ × base area × perpendicular height.
Question
How do you find a composite solid's volume?
Answer
Add the volumes of the parts (subtract for a hole).
Question
Composite surface area — what's the catch?
Answer
Don't count the join between two pieces; only exposed faces.
Question
Sphere has volume 36π — find r.
Answer
⁴⁄₃πr³ = 36π ⇒ r³ = 27 ⇒ r = 3.
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Full study notes for Volume & surface area
Topic 3.1 hub
3D geometry
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Math AA SL exam skills
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