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Integration and applications of integration — Question 10

QCAA 2025, Paper 2 · 1 mark

Q10 · 2025 · Technology-activeSimple familiar1 mark

QUESTION 10

Consider the solid of revolution formed by rotating a section of the curve y=sin⁡(x)y=\sin(x) around the xx-axis.
Determine the volume of the solid of revolution.
Solid of revolution formed from y equals sin x from x equals 0 to pi over 2, rotated about the x-axis.
(A)
0.79 units30.79\text{ units}^3
(B)
0.86 units30.86\text{ units}^3
(C)
2.47 units32.47\text{ units}^3
(D)
2.60 units32.60\text{ units}^3
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