Question

find the volume of this cone. use 3.14 for π. the cone has a height of 6 cm and a radius of 3 cm. volume of a cone v = (1/3)πr²h v = ? cm³ round your answer to the nearest tenth

Explanation:

Step1: Recall cone volume formula

The volume of a cone is $V = \frac{1}{3}\pi r^2 h$, where $r$ is radius, $h$ is height.

Step2: Substitute given values

$r=3\ \text{cm}$, $h=6\ \text{cm}$, $\pi=3.14$
$V = \frac{1}{3} \times 3.14 \times 3^2 \times 6$

Step3: Calculate step-by-step

First compute $3^2=9$, then:
$V = \frac{1}{3} \times 3.14 \times 9 \times 6 = \frac{1}{3} \times 3.14 \times 54 = 3.14 \times 18$

Step4: Final calculation & rounding

$3.14 \times 18 = 56.52$, round to nearest tenth: $56.5$

Answer:

$56.5\ \text{cm}^3$