A) find the volume of the solid formed by revolving the region bounded by y = 2-

Question

A) find the volume of the solid formed by revolving the region bounded by y = 2-x^2 and y = 1 about the line y = 1.
B) find the volume of the solid of revolution formed by revolving the region bounded by y = x-x^3 and the x-axis (0 <= x <= 1) about y-axis.
Show steps and all work for each part including formulas used please. Thanks in advance.
A) find the volume of the solid formed by revolving the region bounded by y = 2-x^2 and y = 1 about the line y = 1.
B) find the volume of the solid of revolution formed by revolving the region bounded by y = x-x^3 and the x-axis (0 <= x <= 1) about y-axis.
Show steps and all work for each part including formulas used please. Thanks in advance.
A) find the volume of the solid formed by revolving the region bounded by y = 2-x^2 and y = 1 about the line y = 1.
B) find the volume of the solid of revolution formed by revolving the region bounded by y = x-x^3 and the x-axis (0 <= x <= 1) about y-axis.
Show steps and all work for each part including formulas used please. Thanks in advance.

Explanation / Answer

Solution;

1)y=2-x^2

x^2=2-y

x= sqrt(2-y)

volume=pi(sqrt(2-y)^2 dy

=pi 10(integral(sqrt(2-y)^2 dy)

=pi[2y-y^2/2]10=3pi/2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.