1. Finding Volume

2. V = πr2h V = 3.14(2)2 x 6 V = 75.36 cm3 Substitute and solve:
A cylinder shaped jar has a radius of 2 cm and a height of 6 cm. What’s the volume of the jar?
2cm
Draw a picture:
Choose formula:
V = πr2h
6cm
Substitute and solve:
V = 3.14(2)2 x 6
V = cm3

3. V = πr2h V = 3.14(4.5)2 x 13 V = 826.6 cm3 Substitute and solve:
A 9 cm wide cross section pipe has a height of 13 cm. How much water can flow through the pipe?
9cm
Draw a picture:
Choose formula:
V = πr2h
13 cm
Diameter is 9 cm, so radius in 4.5 cm
Substitute and solve:
V = 3.14(4.5)2 x 13
V = cm3

4. I have a snow globe with a radius of 2 cm
I have a snow globe with a radius of 2 cm. Find the volume of the snow globe
Draw a picture:
Choose formula:
V = 4/3πr3
2cm
Substitute and solve:
V = 4/3 x 3.14(2)3
V = 33.5 cm3
V = cm3
Take half the volume since it is a hemisphere

5. A cubed block of ice has a hole drilled in it. The
radius of the hole measures 4 cm and has a height of 10 cm. Find the volume of the remaining ice.
4cm
Draw a picture:
Choose formula(s):
10 cm
V(cube) = s3
10 cm
V(cyl) = πr2h
Substitute and solve:
V(cube) – V(cyl)
V = (4)2 x 10
V = 1000 – 502.4
V = cm3

6. V(cone) = 1/3 πr2h V(cone) + ½ x V(sphere)
What is the volume of the ice cream that will fit in a cone that has a radius of 1 inch and a height of 4 inches if you want the ice cream to extend 1 inch above the cone in a perfect hemisphere?
Draw a picture:
Choose formula(s):
1in
V(cone) = 1/3 πr2h
4 in
V(sphere) = 4/3 πr3
Substitute and solve:
V(cone) + ½ x V(sphere)
V = 1/3(3.14)(1)2 x 4 + (1/2)(4/3)(3.14)(1)3
V =
V = 6.3 in3

7. V(cone) compare to V(cyl) V = 1/3(3.14)(1.5)2 x 2 V = (3.14)(1.5)2 x 4
The cups provided near the water jug are cones of radius 1.5cm and height 2cm. Your water bottle is a cylinder of radius 1.5cm and height 4 cm. How many full paper cups of water would you have to drink to get the same amount of water as one full water bottle?
Choose formula(s):
Draw a picture:
1.5 cm
V(cone) = 1/3 πr2h
1.5 cm
4 cm
V(cyl) = πr2h
2 cm
Substitute and solve:
V(cone) compare to V(cyl)
V = 1/3(3.14)(1.5)2 x V = (3.14)(1.5)2 x 4
V = 4.71 cm3 V =28.26 cm3
28.26 ÷ 4.71 = 6 paper cups equals 1 water bottle