Respuesta :
Answer:
Hence, the surface area of cone is:
282.6 cm^2 which is approx 283 cm^2.
Step-by-step explanation:
We are given:
- The circular base of a cone has a radius of 5 centimeters.
i.e. r=5 cm.
- The height of the cone is 12 centimeters
i.e. h=12 cm.
- The slant height is 13 centimeters.
i.e. l=13 cm.
Now we know that the surface area(S.A.) of cone is given by:
[tex]S.A.=\pi r(l+r)[/tex]
Hence by putting the value of l,r and π in the formula we get:
[tex]S.A.=3.14\times 5\times (13+5)\\\\S.A.=15.7\times 18\\\\S.A.=282.6[/tex]
Hence the surface area of cone is 282.6 cm^2 which is approx 283 cm^2.
The surface area of the cone has a radius of 5 centimeters. and height of the cone is 12 centimeters, and the slant height is 13 centimeters will be 282.6 cm^2 which is approx 283 cm^2.
What is a Surface area of cone?
The total surface area of a cone is the sum of the area of its base and the lateral (side) surface.
We are given:
The circular base of a cone has a radius of 5 centimeters.
r=5 cm.
The height of the cone is 12 centimeters
h=12 cm.
The slant height is 13 centimeters.
l=13 cm.
Now we know that the surface area(S.A.) of the cone is given by:
[tex]\rm SA=\pi r(l+r)[/tex]
Hence by putting the value of l,r and π in the formula we get:
[tex]\rm SA=3.14\times 5\times (13+5)[/tex]
[tex]\rm SA=15.7\times 18[/tex]
[tex]\rm SA=282.6\ cm^2[/tex]
Hence the surface area of cone is 282.6 cm^2 which is approx 283 cm^2.
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