6. A solid S, made of wood, is formed by removing a right circular cone from a right circular cylinder. The radius of the cylinder is 12 cm, the slant height of the cone is 20 cm. The cone and the cylinder have the same height. Calculate the volume, cm into significant figures.

Need ! give step by step solutions on how to solve number one \frac{9-2\sqrt{3} }{12+\sqrt{3} } number two x+4=\sqrt{13x-20} number three (domain and range) f(x)=2\sqrt[3]{x} +1

Akayaker travels 3 miles upstream and 3 miles downstream in a total of 4 hours. in still water, the kayaker travels at a speed of 2 mph. what is the average speed of the river's current?

Asurvey of eating habits showed that approximately 5 % of people in a certain city are vegans. vegans do not eat meat, poultry, fish, seafood, eggs, or milk. a restaurant in the city expects 350 people on opening night, and the chef is deciding on the menu. treat the patrons as a simple random sample from the city and the surrounding area, which has a population of about 600,000. if 20 vegan meals are available, what is the approximate probability that there will not be enough vegan meals long dash—that is, the probability that 21 or more vegans will come to the restaurant? assume the vegans are independent and there are no families of vegans.