Question

for the holidays, haley is making homemade snow globes by decorating and filling cylindrical glass jars and then turning them upside down. the dimensions of her snow globes are shown below. what is the total volume of each snow globe? round your answer to the nearest hundredth. cubic centimeters

Explanation:

Step1: Calculate the volume of the upper cylinder

The formula for the volume of a cylinder is \(V = \pi r^{2}h\). For the upper cylinder, \(r = 5.75\) cm and \(h=20\) cm.
\(V_1=\pi\times(5.75)^{2}\times20=\pi\times33.0625\times20 = 661.25\pi\)

Step2: Calculate the volume of the lower cylinder

For the lower cylinder, \(r = 5\) cm and \(h = 4\) cm.
\(V_2=\pi\times(5)^{2}\times4=\pi\times25\times4=100\pi\)

Step3: Calculate the total volume

The total volume \(V=V_1 + V_2=(661.25\pi+ 100\pi)=761.25\pi\)
Substitute \(\pi\approx3.14159\)
\(V=761.25\times3.14159\approx761.25\times3.14 = 2390.33\)

Answer:

\(2390.33\)