Question

find the volume of this cone. use 3.14 for \\(\pi\\). the cone has height 6 m and radius 4 m. volume of a cone \\(v = \frac{1}{3}bh = \frac{1}{3}\pi r^2 h\\) \\(v = ?\\ m^3\\) round your answer to the nearest tenth.

Explanation:

Step1: Recall cone volume formula

$V=\frac{1}{3}\pi r^2 h$

Step2: Substitute given values

$V=\frac{1}{3} \times 3.14 \times 4^2 \times 6$

Step3: Calculate $4^2$ first

$4^2 = 16$

Step4: Multiply constants and terms

$V=\frac{1}{3} \times 3.14 \times 16 \times 6 = \frac{1}{3} \times 3.14 \times 96$

Step5: Compute final value, round to tenth

$V=3.14 \times 32 = 100.48 \approx 100.5$

Answer:

$100.5$ $\text{m}^3$