Part 6
want to line the front of the school with cylinder shaped beams filled with moon sand. each beam is 37 feet tall with a diameter of 8 feet.

what is the total volume of each beam?

you are given a container with a 50,000 sq ft of sand for your beams.

1. how many beams can you fill with this sand?

2. will you have any sand left over? if so how much?

what did you do to get your answers to question 1 and 2? describe your work in detail.

Part 1) The volume of each beam is

Part 2) You can fill

Part 3) Yes, the amount of sand left over is

Step-by-step explanation:

Part 1) What is the total volume of each beam?

The volume of a cylinder is equal to

we have

----> the radius is half the diameter

assume

substitute the values

Part 2) How many beams can you fill with this sand?

we know that

You are given a container with a 50,000 sq ft of sand for your beams

Note Is a 50,000 cubic foot  of sand instead of 50,000 sq ft of sand

Divide the total volume of sand by the volume of each beam to obtain the number of beams

Round down

Part 3) Will you have any sand left over? If so how much?

yes

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

d is the answer

step-by-step explanation: