Finding Volume A cylinder shaped jar has a

Finding Volume

A cylinder shaped jar has a radius of 2 cm and a height of 6 cm. What’s the volume of the jar? Draw a picture: 2 cm Choose formula: 6 cm V = πr 2 h Substitute and solve: V = 3. 14(2)2 x 6 V = 75. 36 cm 3

A 9 cm wide cross section pipe has a height of 13 cm. How much water can flow through the pipe? Draw a picture: 9 cm Choose formula: 13 cm V = πr 2 h Diameter is 9 cm, so radius in 4. 5 cm Substitute and solve: V = 3. 14(4. 5)2 x 13 V = 826. 6 cm 3

I have a snow globe with a radius of 2 cm. Find the volume of the snow globe Choose formula: Draw a picture: V = 4/3πr 3 2 cm Substitute and solve: V = 4/3 x 3. 14(2)3 V = 33. 5 cm 3 V = 16. 75 cm 3 Take half the volume since it is a hemisphere

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. 4 cm Draw a picture: Choose formula(s): 10 cm V(cube) = s 3 V(cyl) = πr 2 h Substitute and solve: V(cube) – V(cyl) V = 103 - 3. 14(4)2 x 10 V = 1000 – 502. 4 V = 497. 6 cm 3

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: 1 in 4 in Substitute and solve: Choose formula(s): V(cone) = 1/3 πr 2 h V(sphere) = 4/3 πr 3 V(cone) + ½ x V(sphere) V = 1/3(3. 14)(1)2 x 4 + (1/2)(4/3)(3. 14)(1)3 V = 4. 2 + 2. 1 V = 6. 3 in 3

The cups provided near the water jug are cones of radius 1. 5 cm and height 2 cm. Your water bottle is a cylinder of radius 1. 5 cm 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? Draw a picture: Choose formula(s): 1. 5 cm 2 cm 4 cm V(cone) = 1/3 πr 2 h V(cyl) = πr 2 h Substitute and solve: V(cone) compare to V(cyl) V = 1/3(3. 14)(1. 5)2 x 2 V = (3. 14)(1. 5)2 x 4 V = 4. 71 cm 3 V =28. 26 cm 3 28. 26 ÷ 4. 71 = 6 paper cups equals 1 water bottle