Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. There are 10 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 10 fenceposts? Use 3.14 for it, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit​

39.25 cubic feet of paint will be needed by Ellis.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder of radius r and height h is given by:

How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?

This is the combined volume of these 10 fenceposts.

They are each 5 feet tall and have a diameter of 1 foot.

Radius is half the diameter, so . Also

10 fenceposts:

Each has the same volume, so:

39.25 cubic feet of paint will be needed by Ellis.

Choice A

7(10+9) = 70 + 63

Explanation:

when we multiply 7 by 19, we start off multiplying just 7*9 = 63 so just focus on the units or ones digit of 19 to have it multiply with 7. We have 63 as the result so we write down "3" as part of the answer, and carry the 6.

Then you move onto the tens digit. The tens digit of 19 is 1. Multiply 1 by 7 and we get 7, which adds on to the carry digit 6 to get 7+6 = 13. Therefore we'll stick a 13 in front of the 3 we got earlier to end up with the final answer 133

Using the distribution rule is much easier in my opinion

19 = 10+9

7*19 = 7*(10+9)

7*19 = 70+63

7*19 = 133

The idea is to multiply the outer 7 by each term inside the parenthesis

7*(10+9) = 7*10 + 7*9 = 70 + 63

So we multiplied the 7 by the 10 first to get 7*10 = 70

Then did the same for the 9 term as well 7*9 = 63

After those two multiplications, we add the results up: 70+63 = 133