Question

Sylvie has a cylindrical vase that is 10 inches tall and 8 inches wide. How many cubic
inches of water will this vase hold?
Find the Volume of the vase. Use 3.14 for pi. Do not round.
Volume of Right Prism or Cylinder = (area of base)(height) or V = Bh
Area of a Circle =
(4 points)
πr
2

radius of the circular base = inches
area of the circular base = square inches
height of the cylinder = inches
Volume of the cylinder = cubic inches

Question 2

Volume of the left cube = cubic centimeters
Volume of the middle rectangular prism = cubic centimeters
Volume of the right cube = cubic centimeters
A)
Find the volume of this composite figure.
Volume of Right Prism or Cylinder = (area of base)(height) or V = Bh
(4 points)

Volume of the entire composite figure = cubic centimeters

Answer 1

First question (cylinder):

- radius of the circular base = diameter/2 = 8/2 = 4 inches
- area of the circular base = πr^2 = 3.14 × 4^2 = 3.14 × 16 = 50.24 square inches
- height of the cylinder = 10 inches
- Volume of the cylinder = (area of base) × height = 50.24 × 10 = 502.4 cubic inches

So the vase holds 502.4 cubic inches of water.

Second question (composite figure):

I don’t have the dimensions for the left cube, middle rectangular prism, and right cube from your diagram. Please either type the side lengths and prism dimensions or upload the figure. Then I will compute:

- Volume of each cube = side^3
- Volume of the rectangular prism = length × width × height
- Volume of the composite figure = sum of the three volumes

Send the missing dimensions (or the image) and I’ll finish it.