how to do these problems?

Midterm Review 1. An earth science teacher needs to purchase 1000 Spherical rocks to complete a project. The rocks have a radius of 15 cm and a density of each rock is 825 kilograms per cubic meters. The maximum capacity of the truck used to pick them up is 13,000 kilogram. Will the truck be able to hold the 1000 rocks? 2. The endpoints of a diameter of a circle are (-8,2) and (2,2). Does the point ( -1, 9) lie on the circle? TOPS HAT 3. Directed line segment DE has endpoints D(-4, -2) and E(1, 8). Point F divides DE such that DF FE is 2:3. What are the coordinates of F?4. What is an equation of circle O shown in the graph below? 12 noham eluque ban 5. In the diagram below of APOR, ST is drawn parallel to PR, PS = 2, SQ = 5, and TR = 5. What is the length of QR? 5 5 6. The diagram below shows circle O with radii OA and OB. The measure of angle AOB is 120, and the length of a radius is 6 inches. What is the length of arc AB, in terms of it and inches? 120 B7. Richard's basketball is in the shape of a sphere with a maximum circumference of 29.5 inches. Determine and state the volume of the basketball, to the nearest cubic inch. 8. The map of a campground is shown below. Campsite C, first aid station F, and supply station S lie along a straight path. The path from the supply station to the tower, , is perpendicular to the path from the supply station to the campsite. The length of path FS is 400 feet. The angle formed by path TF and path FS is 72. The angle formed by path TC and path CS is 550 Determine and state, to the nearest foot, the distance from the campsite to the tower. Campground Map Tower 55 F 1720 -400 It + Campsite First Supply aid station