Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,
the volume of the flask is ____ cubic inches. If both the sphere and the cylinder are dilated by a scale factor of 2, the resulting volume would be _____ times the original volume. options for the first blank are: 20.22, 35.08, 50.07, or 100.11
If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is
Use following formulas to determine volumes of sphere and cylinder:
wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.
Then
Answer 1: correct choice is C.
If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So
1) Calculate volume of each figure using according formulas. You should get: Sphere: 47.71in^3 Cylinder: 2.36in^3 Now let's add, and you should get 50.07.
2) Let's dilate the dimensions/flask by 2 (multiply by 2)
4.5 * 2 = 9 1 * 2 = 2 3 * 2 = 6
Now with these dimensions you should get: Sphere: 381.7in^3 Cylinder: 18.85in^3 This should add up to 400.55in^3