Match the following integrals with the soltd whose volume it represents. The vol

Question

Match the following integrals with the soltd whose volume it represents. The volume of the solid obtained by rotating the region described by 0 lessthanorequalto y lessthanorequalto 1, y^4 lessthanorequalto x lessthanorequalto y^2, about the y-axis. The volume of the solid obtainod by rotating the region described by 0 lessthanorequalto x lessthanorequalto pi/2. 0 lessthanorequalto, y lessthanorequalto, COS(x). about the line y = -1. The volume of the sold obtained by rotating the r eg ton descnbod by 0 lessthanorequalto x lessthanorequalto pi/2, 0 lessthanorequalto y lessthanorequalto cos(x), about the a:-axis. The volume of the solid obtained by rotating the region described by 2 lessthanorequalto y lessthanorequalto 5, 0 lessthanorequalto x lessthanorequalto about the y-axis.

Explanation / Answer

1. C

2. B

3. A

4. D

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