The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters. What is the approximate surface area of the cone? Use 3.14 for π and round to the nearest whole number

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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