Question

question find the volume of a right circular cone that has a height of 19.5 cm and a base with a radius of 12.6 cm. round your answer to the nearest tenth of a cubic centimeter. answer attempt 1 out of 2 cm³ submit answer

Explanation:

Step1: Recall volume formula for cone

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

Step2: Substitute given values

We are given $r = 12.6$ cm and $h=19.5$ cm. Substitute these into the formula: $V=\frac{1}{3}\times\pi\times(12.6)^{2}\times19.5$.

Step3: Calculate $(12.6)^{2}$

$(12.6)^{2}=12.6\times12.6 = 158.76$.

Step4: Calculate the product

$V=\frac{1}{3}\times\pi\times158.76\times19.5$. First, $\frac{1}{3}\times158.76 = 52.92$. Then $V = 52.92\times19.5\times\pi$. $52.92\times19.5=1032.94$. So $V = 1032.94\pi$.

Step5: Approximate the value

Taking $\pi\approx3.14$, we have $V\approx1032.94\times3.14 = 3243.4316$. Rounding to the nearest tenth, $V\approx3243.4$ $cm^{3}$.

Answer:

$3243.4$