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Surface area of a cylinder portion

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

Calculator allowed

Consider a half cylinder cut from a cylinder

The radius is 3 m. The cylinder length is 10 m

The circular cross-section is a half-circle with angle 180°. The calculation includes the curved wall, both sector-shaped ends and one rectangular cut face along the diameter

Cross-section of the cylinder portion: a sector of 180 degrees. The stated radius is 3 m; r denotes its radius. This shape extends straight along a length of 10 m. The straight diameter creates one rectangular cut face. Those cut faces are included in the requested area.rO180°
Cross-section, not to scale. Extend this shape along the stated cylinder length
2 marks

Add the face groups and give the exact surface area

Enter the constant part and the coefficient of π in the two labelled blanks

Write the surface area as \((a+b\pi)\ \mathrm{m}^{2}\) and enter the numerical coefficients