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A cone has a diameter of 7 cm and a slant height of 15.5 cm. What is the surface area of the cone?

Apply this formula: SA = πr2 + πrl

1. Find the radius of the measure: r =
d
2
=
7
2
= 3.5 cm

2. Substitute measures into the formula: SA = π(3.52) + π(3.5)(15.5)

3. Simplify the power and multiply: SA = 12.25π + 54.25π

4. Add to simplify: SA =
π cm2

Respuesta :

Answer:

Total surface area of the cone = 208.81 sq cm

Step-by-step explanation:

Diameter of the cone (d)  = 7 cm

Slant height (L) = 15.5 cm

1) The radius of the cone= Half of the diameter

= 7/2 cm = 3.5 cm

r = 3.5 cm

Now, Total surface area of the cone = [tex]\pi r^{2}  + \pi rl[/tex]

taking π = 3.14

We get [tex]\pi r^{2}   = 3.14 \times 3.5 \times 3.5 = 38.465 cm^{2}[/tex]

and  πrl = 3.14 x 3.5 + 15.5 = 170.345

So, Total surface area of the cone  = 38.465 + 170.345 = 208.81 sq cm

Answer:66.5 cm2

Step-by-step explanation: