4. A sector of central angle 90° is cut out from a circle of radius 12 centimetres and is rolled a up into a cone. a) What is its slant height ? b) What is its radius ? c) What is its curved surface area ?
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Step-by-step explanation:
Slant height =radius of cone=12cm
Radis of cone=
length of arc=x/360*2πr
x=90;r=12cm
=6π
It is circumfrrence of circle so equating it with circumference of circle2πr=6π
radius of cone=3cm
slant height l=5 by pythagorous theorm
CURVED SURFACE AREA OF CONE=πrl=π*3*5=47.123cm square
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