Right Pyramids, Right Cones and Spheres (Grade 11 NSC Matric Mathematics): Quizzes

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Right Pyramids, Right Cones and Spheres
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What makes a pyramid a 'right' pyramid?

Apex-to-base-center line ⊥ to base

How are pyramids named?

By the shape of their base

What is the surface area formula for a square pyramid with base bb and slant height hsh_s?

b(b+2hs)b(b + 2h_s)

What is the surface area formula for a right cone with radius rr and slant height hh?

πr(r+h)\pi r(r + h)

What is the surface area formula for a sphere with radius rr?

4πr24\pi r^2

Which height is used for volume calculations in pyramids and cones?

Perpendicular height H

What factor appears in all pyramid and cone volume formulas?

13\frac{1}{3}

What is the volume formula for a sphere with radius rr?

43πr3\frac{4}{3}\pi r^3

What does surface area equal for pyramids and cones?

Base area + lateral surface area

What is the surface area formula for a triangular pyramid with base bb, hbh_b, and slant hsh_s?

12b(hb+3hs)\frac{1}{2}b(h_b + 3h_s)

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