Perpendiculars 17003

What is the hole volume drilled by the drill in the shape of a right triangle that revolves around a longer perpendicular? The perpendiculars of the triangle are 10 cm and 3 cm long.

Correct answer:

V =  94.2478 cm³

Step-by-step explanation:

$$\begin{gathered} a=10\text{cm} \\ b=3\text{cm} \\ S=\pi \cdot b^2=3.1416\cdot 3^2\doteq 28.2743{\text{cm}}^2 \\ V=\frac{1}{3}\cdot S\cdot a=\frac{1}{3}\cdot 28.2743\cdot 10=94.2478{\text{cm}}^3 \end{gathered}$$

Try another example