Chapter 8.3, Problem 16E

Find the exact volume of the solid that results when the region bounded in quadrant I by the axes and the lines x=9 and y=5 revolved about the a x-axis b y-axis

Determine the volume of the solid formed by rotation about the y-axis of the region bounded by the curve y = 9 In x, the x-axis, the y-axis and the line y=9 In22. 30 25 20 15 10 5. -25 -20 -15 -10 -5 10 15 20 25 Volume of the solid is 3 units

Find the volume of the solid obtained by rotating the region enclosed by the curves y = 32 x2 y = 2 +1– x²| about - y = 25. (Use symbolic notation and fractions where needed.) Volume =| %3D

Find the volume of the solid generated by revolving the region bounded by y = 4x-x² and y=x about the y-axis and about the line x = 3. What is the volume of the solid generated by revolving the region bounded by y = 4x - x² and y=x about the y-axis? Volume= (Type an exact answer, using as needed.) generated by revolving the region bounded by y = 4x-x² and y=x about the line x = 3? What is the volume of the solid Volume= (Type an exact answer, using as needed.) 4 SOCCO

Determine the volume of the solid created by rotating the region bounded by y = x³, y= 125, the x-axis and the y-axis about the y-axis. The region is shown below. 120- 100어 80어 60어 40어 20어 -1 1 3 4 6 V = Number

Please sovle!

Determine the volume of the solid in obtained by rotating the region bounded by y = x² - 1x and y = x about the line y = 4. Write your answer as a fraction in terms of in cubic units. 3 لیا 2 - O L Find the area of the surface formed by rotation, about z-axis the curve y = 2³ and 0 ≤ x ≤ 2. Your answer is expected exact in terms of .

The volume of the solid obtained by rotating the region enclosed by x=0, y=1, x=y^5   Whats the volume and cubic units?

find the volume of the revolution of the area bounded by y=4x-x^2 and y=3 rotated about the y axis.