Question

use Pythagoras rule to find the slant height of a cone which has a base radius of 4cm and a height 3cm,A height of 8cm and a base radius of 6cm

Answer 1

Answer:

a2+b2=c2 where c is the hypotenuse of a right triangle.

In this case:

h2+r2=l2 or, substituting:

h2+82=102

h2+64=100

h2+64−64=100−64

h2+0=36

h2=36

√h2=√36

h=6

The formula for the volume of a cone is:

V=πr2h3

Substituting the radius from the problem and the the height we calculated gives:

V=π×(8cm)2×6cm3

V=π×64cm2×2cm

V=π×128cm3

V=128πcm3

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