Name: Date:

Graded Assignment
Unit Test, Part 2: Volume
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: of 15 points
(Score for Question 1: ___ of 4 points)
1. Answer the two questions below. Show ALL of your work.
(a) Jimmy and Sam were building a sand castle. They decided to make it into a cone shape. After some time, the diameter of the sand shaped cone was 12 in and the height was 7in. What is the exact volume of the sand cone? (Show your work. Remember you can draw a picture to help you solve the problem.)

(b) The boys kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the exact volume of the sand cone now? (Show your work. Remember you can draw a picture to help you solve the problem.)

(Score for Question 2: ___ of 4 points)
2. Cylinder A has a radius of 4 inches and a height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of Cylinder B if both cylinders have the same volume?
(Hint: Start by finding the volume of Cylinder A.)

(Score for Question 3: ___ of 7 points)
4. Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone has a height of 9 in and a radius of 4 in.
What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use 3.14 to approximate pi. (Show your work.)