NyKole 3 years ago A cone with a radius of 8 feet and a slant height of 17 feet is shown below. What is the surface area of this cone? Use 22/7 for pi. 628.57 square feet 427.43 square feet 1,335.71 square feet 854.86 square feet

1. NyKole

2. sai1234

are=pie.r^2+pie.r.s 22/7.8.8+22/7.8.17 =628.0

3. agentx5

$$a^2+b^2=c^2$$ where c = 17 ft and a = r |dw:1342800106700:dw|= 8 ft

4. agentx5

$\text{Volume} = \frac{\pi r^2 h}{3}$ $\text{Surface Area} = \pi r s + (\text{Area}_{\text{circle}}) = \pi r s + \pi r^2$ s = c = 17 ft

5. agentx5

You should now be able to find either volume or surface area @NyKole ^_^ Make sense?

6. agentx5

7. NyKole

8. NyKole

@agentx5

9. agentx5

$$\text{Surface Area} = \pi (8 \ ft)(17 \ ft) + \pi (8 \ ft)^2$$ $$\text{Surface Area} = 136\pi \ ft^2 + 64\pi \ ft^2$$ $$\text{Surface Area} = 200\pi \ ft^2 \approx 628 \ ft^2$$ Correct! Good job (see how the units work btw? foot * foot = feet squared)

10. agentx5

The precise answer would be "200$$\pi$$ ft$$^2$$" :-) That's what my boss would want if I was engineering something like this. Any contractor making the item can use a little calculator on-site to figure out how accurate they want to get.