Mathematics, 08.03.2021 21:10 shanyeah

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.)

Answers: 3

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 12:40

Jamie is hiking up a small mountain. he climbs up at a constant rate of 300 feet/hour until he reaches the peak at 1,500 feet. after that, he hikes down at the same rate to the base of the mountain. the equation that models jamie’s elevation, e, after t hours is e = . jamie’s elevation will be 600 feet after hours and after hours.

Answers: 1

Answer

Mathematics, 21.06.2019 17:40

Bradley hikes 12 miles in 3 hours. in relation to bradley’s hike, which statement describes the expression

Answers: 2

Answer

Mathematics, 21.06.2019 19:30

Asurvey of 2,000 doctors showed that an average of 3 out of 5 doctors use brand x aspirin.how many doctors use brand x aspirin

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

Answers: 1

Answer

You know the right answer?

Name: Date:

Graded Assignment
Unit Test, Part 2: Volume
Answer the question...

Questions