Question

Find the volume of the solid. Round to the nearest tenth.4 in10 in0502.7 in 341.9 inO 31.4 in125.7 in

Answer 1

The given diagram;

The radius of the cylinder = 4in

Height of the cylinder = 10in

Since, the diagram is the 1/4 part of the cylinder. so the volume of this given solid is equal to the volume of the full cylinder divide by 4.

`\text{ Volume of solid = }\frac{Volume\text{ of cylinder}}{4}`

The expression for the volume of cylinder πr²h.

Substitute r = 4, h = 10;

`\begin{gathered} \text{ Volume of solid = }\frac{Volume\text{ of cylinder}}{4} \\ \text{ Volume of solid =}(\pi* r^2* h)/(4) \\ \text{ Volume of solid =}(3.14*4^2*10)/(4) \\ \text{ Volume of solid = 125.7 in}^3 \end{gathered}`

Answer : D) 125.7in³