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Volume of Curved Shapes

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by

Mr Mattock

on 6 April 2018

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Transcript of Volume of Curved Shapes

Volume of Curved Shapes
Activity
Cones and Spheres
Volume of a Cylinder
Volume of prisms
Volume of prism =
area of cross-section x depth
Know the volume of a cylinder, and use the formulae for volumes of cones and spheres.
Volume of a Cylinder
r = 17 m
V = Pi x 17 x 17 x 27
= 24513 m
3
r = 2 cm
V = Pi x 2 x 2 x 5
= 62.83 cm
3
Activity
(a) 402.12

(b) 1130.97

(c) 3216.99

(d) 64.09
(e) 11309.73

(f) 423.33

(g) 2770.88

(h) 25861.59
Large Cylinder = Pi x 2 x 2 x 15
= 188.5
Small Cylinder = Pi x 1 x 1 x 15
= 47.12
Remaining = 188.5 - 47.12
= 141.38
Cones and Spheres
340.34
408.28
3053.63
7238.23
Activity
Which of these has the greatest volume?
Activity
Which of these has the greatest volume?
Cylinder
(a) 314.16
(b) 47.12
(c) 370.18
(d) 199.43

523.6
1436.76
4188.79
7238.23
Activities
Activity
Answers

Key
Examples

Worked
Example
Worked
Example
Full transcript