1) A rectangular floor space in a community center is 40 ft long and 32 ft wide. A volunteer is setting up chairs on the floor space. Each chair needs an area of approximately 4 ft by 5 ft.
Which estimate best approximates the number of chairs that can be set up on the floor space?
A: 20
B: 60
C: 260
D: 320
2) A globe has a surface area of 2700 cm². Andrew wants to estimate the volume of the globe. To do the estimate, he approximates π using 3 in both the surface area and volume formulas for a sphere.
Using this method, what value does he get for the approximate volume of the globe?
Thank you for all of your help I really appriate it. Sorry for all the questions in advanced today I'm trying to get all my classes for this week done today becasue I'm moving this week!
Total Area = 40 * 32 = 1280 ft^2
Area occupied by each chair = 4 * 5 = 20 ft^2
Number of chairs = 1280 / 20 = 61 ≈ 60 chairs
Surface area = 4 * 3 * r^2
2700 = 12 * r^2 divide both sides by 12
225 = r^2 take the positive root
15 = r
So....the volume is
(4/3) * 3 * r^3 =
4 * (15)^3 = 13500 cm^3
Good luck on the move.....!!!!!