A a skateboard ramp has been constructed using a rectangular prism that has had a quarter-cylinder removed to create the curved surface.
Calculate the volume of the skateboard ramp, giving your answer correct to one decimal place. (2 marks)
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| \( V\) | \(=l\times b\times h-\dfrac{1}{4}\times\pi r^2h\) |
| \(=7\times 5\times 6-\dfrac{1}{4}\times\pi\times 5^2\times 6\) | |
| \(=210-117.809\dots\) | |
| \(=92.190\dots\) | |
| \(\approx 92.2\ \text{m}^3\ (\text{1 d.p.})\) |