Volume day 3.notebook
April 25, 2017
Volume day 3.notebook
April 25, 2017
Volume Day 3
A cylinder is a three‐dimensional geometric shape with bases that are circles that are parallel.
A sphere ‐ a three‐dimensional solid whose surface has all points equidistant from a fixed point called the center.
A cone is a three‐dimensional geometric shape that tapers smoothly from a flat base to a point called the vertex. Since all of these have circles we will use pi!
There are two ways to answer: Exact ­ in terms of Pi and rounded. FOLLOW DIRECTIONS!
Volume day 3.notebook
April 25, 2017
Find the exact volume (IN TERMS OF PI!) in and rounded to the tenth. What is different about the 2nd cylinder?
1. 2. 12 in
2 cm
25 in
5.3 cm
What do you notice about the size of a cone compared to a cylinder?
B
B
OR
Volume day 3.notebook
April 25, 2017
Find the exact volume and then rounded to the tenth. 3. 4. 4mm
2.3m
9mm
15m
Find the exact volume and then rounded to the tenth. 5. 6. 4cm
18cm
Volume day 3.notebook
April 25, 2017
7. A spherical fish tank has a radius of 8 inches. Assuming the entire tank could be filled with water, what would the volume of the tank be? Calculate the exact and then to the tenths place.
8. The average basketball has a diameter of 9.5 inches. What is the volume of an average basketball? Round your answer to the tenths place. 9. Use the diagram to answer the questions.
a. Predict which of the figures shown has the greater volume. Explain.
b. Calculate the volumes in terms of Pi to see if you were correct.
2.5mm
12.6mm
2.8mm
Volume day 3.notebook
April 25, 2017
10. Use the diagram to answer the questions.
a. Predict which of the figures shown has the greater volume. Explain.
b. Calculate the volumes in terms of Pi to see if you were correct.
(3)(12)(4) ­ 144 cm3
Find the volume.
V= Bh
(4.9)(4)
19.6 in.3
2
V = 1 r h
3
5.2 in
1 (1.2)2(5.2)
3
2.496
1.2 in
7.84 in.3
10 cm
V = 4 r3
3
4 53
3
166 2
3
523.60 cm3