Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows. While determining how much paint to purchase, Charlotte finds the following information on the internet.

One gallon of paint typically covers 350 square feet.
The average door has an area of about 20 square feet.
The average window has an area of about 15 square feet.
Charlotte performs the following calculations to determine how much paint to buy.

She calculates the area of each of the four walls and finds that the total area of the walls, disregarding the doors and windows is 531 square feet.
There are two walls that have dimensions of 16 feet by 9 feet: 2(16 feet)(9 feet) = 288 square feet.
There are two walls that have dimensions of 13 feet by 9 feet: 2(13 feet)(9 feet) = 243 square feet.
Total area of walls: 288 square feet + 243 square feet = 531 square feet.
Next, she calculates that the doors and windows add an extra 70 square feet, making the total square footage 601 square feet.
Area of doors and windows: 2(20 square feet) + 2(15 square feet) = 40 square feet + 30 square feet = 70 square feet.
Total area, including doors and windows: 531 square feet + 70 square feet = 601 square feet.
Finally, she calculates that since one gallon of paint covers 350 square feet, she will need two gallons of paint.
= ⇒ 601(1) = 350x ⇒ 601 = 350x ⇒ 1.72 ≈ x
Since the paint Charlotte is buying only comes in gallons, she figures that she'll need to buy two gallons.
Do Charlotte's calculations make sense? Why or why not? Make sure to address each step in your answer and use complete sentences to explain your reasoning.
(Please do not answer just to get the points.)

Complete the worksheet. use 3.14 for π and round all decimals to the nearest hundredth.find the volume of the composite three-dimensional figure above. important terms are written in bold.1. the pyramid has a square base that is inscribed in the circular base of the cone. draw an image of the composite shape of the base. 2. if the side length of the square base is 8 units long, what is the diameter of the circular base of the cone from the picture in number 1? 3. now that the diameter has been calculated, what is the circular area of the cone? ignore the square base of the pyramid.? 4. what is the formula for volume of a cone? 5.to calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone? 6.now find the volume of the cone. do not include the empty space for the pyramid. 7.. the side length of the square base of the pyramid is 8 units long. what is the base area of the pyramid? 8.what is the formula for the volume of a pyramid9. since the cone and the pyramid share the same vertex, what is the volume of the pyramid10.using the volume of the cone and the pyramid, find the volume of the composite shape. remember, the pyramid is empty. 11,. referring to the picture in number 1, what is the area of the composite base knowing that the square is empty? 12what is the formula to find the lateral surface area of a cone? (13find the lateral surface area of the cone14what is the lateral surface area shape of the pyramid? what is the formula for its area? 15to find the lateral surface area of the pyramid the length is still needed. calculate the lateral surface length of the pyramid. 16 now that the lateral surface length is known, what is the lateral surface area of the pyramid17. using the lateral surface areas of the cone and pyramid, along with the area of the composite base, what is the total surface area?

The radius of a sphere is 3 inches. which represents the volume of the sphere?

State one method by which you can recognize a perfect square trinomial.