# Calculus I

The base of a solid is the circle x^2 + y^2 = 9. Cross sections of the solid perpendicular to the x-axis are squares. What is the volume, in cubic units, of the solid?

1. 👍 0
2. 👎 0
3. 👁 1,003
1. each square of thickness dx has side 2y, so its area is 4y^2.

Adding up all the thin squares, and using symmetry,

v = 2∫[0,3] 4(9-x^2) dx

1. 👍 0
2. 👎 1
posted by Steve
2. Awsome...thnx

1. 👍 0
2. 👎 0

## Similar Questions

1. ### College Calculus

Find the volume of the solid with given base and cross sections. The base is the unit circle x^2+y^2=1 and the cross sections perpendicular to the x-axis are triangles whose height and base are equal.

asked by Anonymous on February 9, 2012
2. ### calc

he base of a solid in the xy-plane is the circle x^2 + y^2 = 16. Cross sections of the solid perpendicular to the y-axis are semicircles. What is the volume, in cubic units, of the solid?

asked by Anonymous on June 27, 2015
3. ### Calculus

The base of a solid is the circle x^2 + y^2 = 9. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in cubic units, of the solid? 36√3 36 18√3 18

asked by Alice on January 30, 2019
4. ### calculus

The base of a solid is the circle x2 + y2 = 9. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in cubic units, of the solid?

asked by Anonymous on June 21, 2015
5. ### Calculus

The base of a solid is the circle x2 + y2 = 9. Cross sections of the solid perpendicular to the x-axis are semi-circles. What is the volume, in cubic units, of the solid?

asked by Belle on February 14, 2016
6. ### Calculus

R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1. (a) Set up and evaluate an integral that gives the area of R. (b) A solid has base R and the cross-sections of the solid perpendicular to the

asked by Jake on January 27, 2010
7. ### Calculus

R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1. (a) Set up and evaluate an integral that gives the area of R. (b) A solid has base R and the cross-sections of the solid perpendicular to the

asked by Jake on January 28, 2010
8. ### Calculus

R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1. (a) Set up and evaluate an integral that gives the area of R. (b) A solid has base R and the cross-sections of the solid perpendicular to the

asked by Drake on February 2, 2010
9. ### Calculus

The base of a solid is the circle x^2 + y^2 = 9. Cross sections of the solid perpendicular to the x-axis are squares. What is the volume, in cubic units, of the solid? A. 18 B. 36 C. 72 D. 144 Please help. Thank you in advance.

asked by Justin on June 25, 2019
10. ### Calculus

The base of a solid is the circle x^2+y^2=9. Cross sections of the solid perpendicular to the x-axis are semi-circles. What is the volume, in cubics units, of the solid? a) 9 π/4 b) 18π c) 9π d) 72π

asked by Alice on January 27, 2019

More Similar Questions