Question

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) ​

Answer 1

188.4 units²

Explanation:

Hi there!

Part A

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

⇒ r = 6

Replace r with 6

`3.14(6s+6^2)`

⇒ s = 4

Replace s with 4

`3.14(6*4+6^2)`

Part B

Evaluate the expression found in Part A:

`3.14(6*4+6^2)`

Find 6²:

`=3.14(6*4+36)`

Find 6*4:

`=3.14(24+36)`

Find 24+36:

`=3.14(60)\\=188.4`

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

I hope this helps!