Question

Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption, what is the volume of the flask? Round the answer to two decimal places.


A.
10.77 cubic inches
B.
20.22 cubic inches
C.
35.08 cubic inches
D.
50.07 cubic inches
E.
100.11 cubic inches

Answer 1

image of the flask: https://us-static.z-dn.net/files/dab/ca2aad231e921bd91eaf1f6a44fe48e8.jpg

step 1) volume of a cylinder = pi * r^2 * h

in this case, you're given the diameter, not the radius, so divide the diameter (1) by 2 to get the radius

then plug it in, along with the height, into the volume equation

step 2) volume of a sphere = (4/3) * pi * r^3
again, the diameter is given here, not the radius, so divide 4.5 / 2 to get the radius, then plug it into the formula

step 3) add the two volumes. round to 2 decimal places as stated.