Right Pyramids, Right Cones and Spheres (Grade 10 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'?

Line from apex to base centre is perpendic.

What is the key difference between height and slant height?

Height is perpendicular; slant is diagonal

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

4πr24\pi r^2

What factor appears in all pyramid and cone volume formulas?

13\frac{1}{3}

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

πr(r+h)\pi r(r + h)

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

43πr3\frac{4}{3}\pi r^3

How do you find slant height from height HH and radius rr?

slant height² = H2+r2H^2 + r^2

What does surface area of a pyramid include?

Base area + all slanted side areas

What units are used for surface area and volume respectively?

cm² for area; cm³ for volume

What is the volume formula for a square pyramid with base side bb and height HH?

V=13×b2×HV = \frac{1}{3} \times b^2 \times H

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