Question

A diagram of a deodorant container is shown. It is made up of a cylinder and half of a sphere. What is the volume of the whole container to the nearest tenth cubic centimeter? Use 3.14 for . 2.3 cm 8cm 3 A. 183.8 cm B. 132.9 cm C. 158.43 cm D. 50.9 cm

Answer 1

Answer:

$V_{total}=158.43cm^3$

Step-by-step explanation:

To calculate the volume of the deodorant container, we have to calculate the volume for half of the sphere and for a cylinder:

For the cylinder:

$\begin{gathered} V_{cylinder}=h\cdot\pi\cdot r^2 \\ V_{cylinder}=8\cdot\pi\cdot2.3^2 \\ V_{cylinder}=132.95cm^3 \end{gathered}$

Now, for half of the sphere:

$\begin{gathered} V_{sphere}=\frac{4}{6}\cdot\pi\cdot r^3 \\ V_{sphere}=\frac{4}{6}\cdot\pi\cdot2.3^3 \\ V_{sphere}=25.48cm^3 \end{gathered}$

Then, add them together to get the total volume:

$\begin{gathered} V_{total}=25.48+132.95 \\ V_{total}=158.43cm^3 \end{gathered}$