Question

Using 3.14 for it, what is the volume of the cylinder below to the nearest tenth? 11.4 yd 10.7 yd A 1,091.6 cubic yards B 4366.4 cubic yards 347.6 cubic yards D 102 cubic yards

Answer 1

Volume of a cylinder is given by

`\begin{gathered} V\text{ = }\pi r^2h,\text{ } \\ \text{Where V is the volume } \\ \pi\text{ = 3.14} \\ r\text{ = radius = }\frac{diameter\text{ }}{2} \\ \text{diameter = 11.4. Therefore r =}(11.4)/(2) \\ r\text{ = 5.7},\text{ h = height = 10.7} \\ V\text{ = }\pi r^2h \\ V=\text{ 3.14}*5.7^2*10.7 \\ V\text{ = 3.14 }*5.7*5.7*10.7 \\ V=1091.599yd^3 \end{gathered}`

Therefore, the Volume = 1091.6 cubic yards to the nearest tenth. The correct answer is option A