Question

Based on this assumption, what is the volume of the flask? Round the answer to two decimal places. 10.77 cubic inches 20.22 cubic inches 35.08 cubic inches 50.07 cubic inches 100.11 cubic inches

Answer 1

The first question is clearly incomplete. The model is not presented so we cannot estimate the volume of the flask but if it was given, the volume is equal to the volume of the cylinder plus the sphere. The cylinder volume is V = pi(r^2)h.

To find the volume of the sphere we use the given equation 4/3πr^3. The radius is 4.5/2. The volume is 47.71 cubic inches.

Answer 2

50.07 and 8 times

Step-by-step explanation:

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

Divide new by original. 400.55 / 50.07 = 8

So it is 8 times larger