the height and base radius of a cone are 16cm And 12cm find the curved surface area of cone
Answers
Answer:
1004.8
Step-by-step explanation:
Formula for CSA of a cone = pi*r*l, where
r is base radius
l is slant height.
We have been given values :
r = 16
h = 12
So we need to find the value of l through pythagoras theorem.
By pythagoras theorem,
r^2 + h^2 = l^2
256 + 144 = l^2
400 = l^2
l = + or - 20
l cannot have a negative value, therefore l = 20cm
Now,
CSA of given cone = Pi*r*l
Substituting values in the equation, we get
3.14 * 16 * 20
=1004.8
Therefore CSA of the cone is 1004.8
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Answer:Given, height(h)=16cm and radius(r)=12cm
let the slant height be l
l^2=h^2+r^2
=16^2+12^2
=256+144
l^2 =400
l= 20
curved surface area of a cone=πrl
=3.14*12*20
=753.6 cm^2