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The surface area of a cone with radius r units and slant height s units is shown below: Surface area = 3.14(rs + 2) Part A: Ifr= 6 units and s = 4 units, write an expression that can be used to calculate the surface area of the cone. (4 points) Part B: What is the surface area of the cone? Show your work. (6 points) ​

The surface area of a cone with radius r units and slant height s units is shown below Surface area 314rs 2 Part A Ifr 6 units and s 4 units write an expression class=

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theleangreenbean

Answer:

188.4 units²

Step-by-step explanation:

Hi there!

Part A

Surface area of a cone = [tex]3.14(rs+r^2)[/tex] where r is the radius of the base and s is the slant height

⇒ r = 6

Replace r with 6

[tex]3.14(6s+6^2)[/tex]

⇒ s = 4

Replace s with 4

[tex]3.14(6*4+6^2)[/tex]

Part B

Evaluate the expression found in Part A:

[tex]3.14(6*4+6^2)[/tex]

Find 6²:

[tex]=3.14(6*4+36)[/tex]

Find 6*4:

[tex]=3.14(24+36)[/tex]

Find 24+36:

[tex]=3.14(60)\\=188.4[/tex]

Therefore, the surface area of the cone is 188.4 units².

I hope this helps!

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