Volumes of Revolution

Flashcard
•
Mathematics
•
12th Grade
•
Hard
Ida Cortez
FREE Resource
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16 questions
Show all answers
1.
FLASHCARD QUESTION
Front
Volume of solid with base region R enclosed by f(x)=x^2, y=2, and y-axis. Cross section perpendicular to x-axis is a rectangle with height twice the base length.
Back
6.034
2.
FLASHCARD QUESTION
Front
Volume of solid with base region R enclosed by f(x)=√3 and g(x)=3/2x, cross sections are isosceles right triangles perpendicular to x-axis.
Back
2.40
3.
FLASHCARD QUESTION
Front
Area of region R in the first and second quadrants above y=20/(1+x^2) and below y=2. Round to the nearest thousandth.
Back
37.961
4.
FLASHCARD QUESTION
Front
Volume of solid generated when region R (enclosed by f(x)=x^2-1, y=-4, x=0, x=4) is revolved about y=-4.
Back
1158.619
5.
FLASHCARD QUESTION
Front
Volume of solid with base R bounded by y=sin(πx) and y=x^3-4x, cross sections perpendicular to x-axis are squares.
Back
9.978
6.
FLASHCARD QUESTION
Front
Find the volume of water in the pond given the region R bounded by y=sin(πx) and y=x^3-4x, with depth h(x)=3-x.
Back
8.369
7.
FLASHCARD QUESTION
Front
Find the volume of the solid generated when the region R, enclosed by f(x)=x^2+2, y=2, x=0, and x=4, is revolved about the line y=2.
Back
643.398
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