Question

what is the approximate volume of the oblique cone? use $\pi \approx 3.14$ and round to the nearest tenth. \bigcirc 117.8 cubic units \bigcirc 141.3 cubic units \bigcirc 235.5 cubic units \bigcirc 282.6 cubic units

Explanation:

Step1: Recall the volume formula for a cone

The volume \( V \) of a cone (including oblique cones) is given by the formula \( V = \frac{1}{3}\pi r^2 h \), where \( r \) is the radius of the base and \( h \) is the height.

Step2: Identify the values of \( r \) and \( h \)

From the diagram, the radius \( r = 5 \) and the height \( h = 9 \).

Step3: Substitute the values into the formula

Substitute \( r = 5 \), \( h = 9 \), and \( \pi \approx 3.14 \) into the formula:
\[

$$\begin{align*} V&=\frac{1}{3}\times3.14\times5^2\times9\\ &=\frac{1}{3}\times3.14\times25\times9\\ &= 3.14\times25\times3\\ &= 3.14\times75\\ &= 235.5 \end{align*}$$

\]

Answer:

235.5 cubic units (Option: 235.5 cubic units)