explain the following step by step.Find the volume ,csa and tsa of a right circular cone the radius of base is 10cm and height is 16cm.
Answers
Answer:
CSA=753.6cm2
TSA=1205.76 cm^2TSA=1205.76cm2
Step-by-step explanation:
Given : The height of a cone is 16 cm and its base radius is 12 cm .
To find : The curved surface area and the total surface area of the cone?
Solution :
The radius of cone is r= 12 cm
The height of the cone is h=16 cm
l is the slant height
Formula to find slant height is l^2=h^2+r^2l2=h2+r2
l^2=16^2+12^2l2=162+122
l^2=256+144l2=256+144
l=\sqrt{400}l=400
l=20l=20
Now, The curved surface area of the cone is CSA=\pi r lCSA=πrl
Substitute, \pi =3.14 , r=12 cm, l=20 cmπ=3.14,r=12cm,l=20cm
CSA=(3.14)(12)(20)CSA=(3.14)(12)(20)
CSA=753.6 cm^2CSA=753.6cm2
The total surface area of the cone is TSA=\pi r(r+l)TSA=πr(r+l)
Substitute, \pi =3.14 , r=12 cm, l=20 cmπ=3.14,r=12cm,l=20cm
TSA=3.14\times 12(12+20)TSA=3.14×12(12+20)
TSA=3.14\times 12(32)TSA=3.14×12(32)
TSA=3.14\times 384TSA=3.14×384
TSA=1205.76 cm^2TSA=1205.76cm2
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