Question

find the volume of the hemisphere. use 3.14 for pi and round to the nearest tenth. 18 cm a. 18,165.2 cm³ b. 20,638.5 cm³ c. 12,208.3 cm³ d. 24,416.6 cm³

Explanation:

Step1: Identify radius

The diameter is 18 cm, so radius $r = \frac{18}{2}=9$ cm.

Step2: Recall volume formula for hemisphere

The volume formula for a hemisphere is $V=\frac{2}{3}\pi r^{3}$.

Step3: Substitute values

Substitute $r = 9$ cm and $\pi=3.14$ into the formula: $V=\frac{2}{3}\times3.14\times9^{3}$.
First, calculate $9^{3}=9\times9\times9 = 729$.
Then, $V=\frac{2}{3}\times3.14\times729$.
$\frac{2}{3}\times729 = 486$.
So, $V = 3.14\times486=1526.04$ $cm^{3}$.

Answer:

None of the provided options are correct. The correct volume of the hemisphere with radius 9 cm using $\pi = 3.14$ is $1526.04$ $cm^{3}$.