Volume of Cylinders and Spheres (HSC SSCE Mathematics Standard): Flashcards

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Volume of Cylinders and Spheres
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Cylinder volume formula

V=pir2hV = pi r^2 h

Key measurements for cylinder volume

Radius (rr) and height (hh)

Sphere volume formula

V=43πr3V = \frac{4}{3}\pi r^3

Hemisphere volume formula

V=23πr3V = \frac{2}{3}\pi r^3

Definition of annulus

Ring shape - circle with circular hole in middle

Converting diameter to radius

Divide by 2

Volume measurement units

Cubic units (mm³, cm³, m³)

Annulus area formula

A=π(R2r2)A = \pi(R^2 - r^2)

Cylinder volume calculation method

Area of circular base × height

Hemisphere vs sphere volume

Hemisphere is exactly half of sphere volume

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