The volume of the solid is bounded by the hemisphere z=(49-x^(2)-y^(2))^((1)/(2)), below by the xy plane, and laterally by the cylinder x^(2)+y^(2)=16. Using cylindrical coordinates ā_(23)rdzdrd heta , find the lower and upper limits of the z variable. Refer to problem no. a.0 to (7-r^(2))^((1)/(2)) nos. 24 to 27.
What is the integrand in ārdzdrd heta ?
a. 1
b. 2
c. 1.2
e. 1.5
What is the range of the limit of r ?
a. 0 to 2
b. 0 to 3
c. 0 to 4
d. 0 to 5
What is the range of the limit of the angle heta ?
a. 0 to 90deg
b. 0 to 180deg
c. 0 to 270deg
d. 0 to 360deg
Find the volume of the solid.
a. 421.23
b. 321.34
c. 367.12
d. 331.23
23. The volume of the solid is bounded by the hemisphere z=49--y1/2, below by the xy-plane, and laterally by the cylinder x^2+y^2=16. Using cylindrical coordinates rdzdrd, find the lower and upper limits of the z variable. Refer to problem no. 23 for problems nos. 24 to 27.
a. 0 to (7-r2)1/2
b. 0 to (49+r2)1/2
c. 0 to (49-r2)1/2
d. 0 to (-49+r2)1/2
24. What is the integrand in rdzdrd0?
a. 1
b. 2
c. 1.2
e. 1.5
25. What is the range of the limit of r?
a. 0 to 2
b. 0 to 3
c. 0 to 4
d. 0 to 5
26. What is the range of the limit of the angle 0?
a. 0 to 90 deg
b. 0 to 180 deg
c. 0 to 270 deg
d. 0 to 360 deg
27. Find the volume of the solid.
a. 421.23
b. 321.34
c. 367.12
d. 331.23