Can someone let me know if the answers are right and provide the working method please

Question 1 Find the area of the region bounded by the curve y = x^3 and the line y = 8 using vertical rectangles O 14.23 O 18.92 O 12 O 10 Question 2 Find the area of the region bounded by the parabola y = x^2, the tangent line to the parabola at the point (2, 4), and the x axis. O 0.249 O 0.667 O 0.333 0.1444Question 3 2 pts Compute the area of the region bounded by the curve y=8- x - 2x and the x axis O 48 O 36 O 18 O 24 Question 4 Find the area of the region bounded by the curves 4x - y*2 = 0 and y = 2x - 4. Itcimatructure. com/caune: 2420 0quizrey/ 120104take 11.15 PM Quiz: Math Quiz 02: Calculus and offers O 14 O 12 O 18.81 OQuestion 6 A hole of radius 2 is drilled through the axis of a sphere of radius 3. Compute the volume of the remaining solid. O 20.944 56.312 O 34.641 O 21.643 Question 7 2 pts we.instructure.com/courses/24290/quizzes/120104/take 3/21 11:15 PM Quiz: Math Quiz 02: Calculus and others Compute the volume of the solid obtained by rotating the region bounded by y = x^2, y = 8 - x^2, and the y axis about the x axis. O 409.215 289.104 O 332.72 O 268.083Question 8 2 pts Determine the area of the region bounded by the curve y = a* - 4x2 + 3x and the x axis 0