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Volume of a cylinder portion

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
Half-cylinder; radius given; exactQuarter-cylinder; radius given; exactNOWMix of allRecommended
Question 1 of 8

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A solid model has the shape of a quarter-cylinder

The cylinder's radius is 15 cm. Its length, measured perpendicular to the sector-shaped cross-section, is 50 cm. The portion is 1/4 of the full cylinder

Circular-sector cross-section of 90 degrees. The stated radius is 15 cm; r denotes the radius. The perpendicular cylinder length is 50 cm.r90°
Cross-section, not to scale. Extend this shape along the stated cylinder length
1 mark

Find how much space this quarter-cylinder occupies. Enter the exact coefficient b in the stated expression

\[V=b\pi\ \mathrm{cm}^{3}\]
Format: Exact integer or fraction