Question

Determining Volumes by the Disk-Washer Method

1. Find the volume of the solid formed by revolving the region bounded by the graph of f(x) = p sin(x) and the x−axis from 0 ≤ x ≤ π about the x−axis.

2. Find the volume of the solid formed by revolving the region bounded by f(x) = 2 − x 2 and g(x) = 1 about the line y = 1.

3. Find the volume of the solid formed by revolving the region bounded by the graphs of y = √ x and y = x 2 about the x−axis.

4. Find the volume of the solid formed by revolving the region bounded by the graphs of y = x 2 + 1, y = 0, x = 0 and x = 1 about the y−axis.

Please answers these 4 questions. Draw it neatly and label the question number, please. Thank you so much in Advance.

Answer 1

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그 =h a (psinec) dx 0 주 ap²f sink, die we know that wis? معمایی دا or sin² 1- 6522 put this lalicia ahoke Equation Cosas de ve zap? f 4- ap? ta sinan 41. sinan 2p² I s fore & 4 72p2 { 3-0 2p².22 Q 3 V zip Fredag
one question is allowed per session so I solved first question