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: Recall volume formula for hemisphere

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

Step2: Identify the radius

The radius $r = 18$ cm.

Step3: Substitute values into formula

$V=\frac{2}{3}\times3.14\times18^{3}$. First, calculate $18^{3}=18\times18\times18 = 5832$. Then, $\frac{2}{3}\times3.14\times5832=2\times3.14\times1944$. Since $2\times3.14 = 6.28$, then $6.28\times1944 = 12208.32$ $cm^{3}$.

Step4: Round to nearest tenth

Rounding $12208.32$ to the nearest tenth gives $12208.3$ $cm^{3}$.

Answer:

C. $12,208.3$ $cm^{3}$