(i)Find the volume of the solid that is generated by revolving the region bound by the
graphs of 𝑦 = 𝑥2 and 𝑦2 = 𝑥 about the 𝑦 − 𝑎𝑥𝑖𝑠.
"V=\\pi\\int_0^1 ((\\sqrt y)^2-(y^2)^2)dy="
"\\pi\\int_0^1 (y-y^4)dy=\\pi(y^2\/2-y^5\/5)|_0^1="
"\\pi(1\/2-1\/5)=\\frac{3\\pi}{10}"
Answer: "V= \\frac{3\\pi}{10}" .
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