Question

culating the volume of an oblique cone what is the volume of the oblique cone? round to the nearest tenth. 4 142.4 cubic units 142.4 square units 8.5 196.0 cubic units 11.7 196.0 square units

Explanation:

Step1: Recall cone volume formula

The volume $V$ of any cone (including oblique cones) is $V = \frac{1}{3}Bh$, where $B$ is the base area, and $h$ is the perpendicular height.

Step2: Calculate base area

The base is a circle with radius $r=4$. Area $B = \pi r^2 = \pi (4)^2 = 16\pi$.

Step3: Substitute values into formula

Use perpendicular height $h=8.5$:
$V = \frac{1}{3} \times 16\pi \times 8.5$

Step4: Compute and round

First calculate $16 \times 8.5 = 136$, then $V = \frac{136\pi}{3} \approx \frac{136 \times 3.1416}{3} \approx 142.4$
Note: Volume uses cubic units, so square unit options are invalid.

Answer:

142.4 cubic units