Kylee is installing a cylindrical swimming pool in her backyard. The diameter of the pool is 20 feet. Her backyard is a square whose sides are 60 feet long. To help her figure out where to place the pool, Kylee created a coordinate grid to represent her backyard. She does not want the swimming pool to touch the tree, the patio, or either flower bed. a. If Kylee wanted to put the swimming pool directly between the flower beds, at what point would the center of the swimming pool be? Type your response here: (30, 50) b. What would the equation of the circle be if the pool were placed directly between the flower beds? Type your response here: (x - 30)² + (y - 50)² = 10² c. Use the equation you found in part b to prove or disprove that the swimming pool would touch one of the flower beds. Type your response here: d. Could Kylee put the swimming pool directly between the flower beds? Type your response here: e. Give one point where Kylee could place the center of the swimming pool without the pool touching anything. Type your response here: f. If the swimming pool is 4 feet deep, what is the approximate volume of the swimming pool? Type your response here: g. One cubic foot is about 7.48 gallons. Using this, about how many gallons of water does the swimming pool hold? Type your response here: