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4.2 Worksheet Key
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4.2 Worksheet:Solve for volume to the nearest tenth.
1) The great pyramid has a length and width of 233m and a height of 147m.What is the volume?
233m233m
147m
4.2 Worksheet:Solve for volume to the nearest tenth.
1) The great pyramid has a length and width of 233m and a height of 147m.What is the volume?
233m233m
147m
V = LWH = (233)(233)(147) 3 3
V = 2 660 161 m3
2) Find how much water the dixie cup can hold. (ie what is the volume?)
9cm
3cm
2) Find how much water the dixie cup can hold. (ie what is the volume?)
9cm
3cmV = πr2h = π(3)2(9) 3 3
V = 84.8 cm3
6.7cm
3)6.7cm
3)
V = 4πr3 = 4π(3.35)3 3 3
V = 4π(37.595) 3
V = 157.5 cm3
radius = 6.7 = 3.35cm 2
4.2 Worksheet Key
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14 in
6 in
7 in
4)
14 in
6 in
7 in
4) V = Abase x H 3
Atriangle = bh = (6)(7) = 21 2 2
Abase = 21 x 6 triangles = 126
V = 126 x 14 = 588 in3 3
5) What is the volume of the cone with radius 15cm and height 50cm?
5) What is the volume of the cone with radius 15cm and height 50cm?
V = πr2h = π(15)2(50) 3 3
V = 11 781 cm3
6)
h = 7cm
6)
h = 7cm
V = LWH = (5)(2)(7) 3 3
V = 23.3 cm3
4.2 Worksheet Key
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7) What is the volume of the Vancouver Omnimax if the diameter is 155 ft?
7) What is the volume of the Vancouver Omnimax if the diameter is 155 ft?
radius = 155 = 77.5 ft 2V = 4πr3 = 4π(77.5)3 3 3
V = 4π(465 484.375) 3
V = 1 949 821 ft3
8) The grain storage tank is a cylinder and a cone. The radius is 2m, the height of the cylinder portion is 10m and the height of the cone portion is 4m. How much grain can the tank hold?
8) The grain storage tank is a cylinder and a cone. The radius is 2m, the height of the cylinder portion is 10m and the height of the cone portion is 4m. How much grain can the tank hold?
Cone:V = πr2h = π(2)2(4) 3 3
V = 16.76 m3Cylinder:V = πr2h = π(2)2(10) V = 125.66 m3 TOTAL = 125.66 + 16.76
= 142.4 m3
9) Smith building in SeattleBottom: L = 20m, W = 10m, H = 30mMiddle: L = 12m, W = 10m, H = 30mTop: L = 13m, W = 13m, H = 15mWhat is the volume?Bottom: V = LWH = (20)(10)(30)Rec Prism = 6000 m3
Middle: V = LWH = (12)(10)(30)Rec Prism = 3600 m3
Top: V = LWH = (13)(13)(15)Pyramid 3 3 = 845 m3 TOTAL
= 6000 + 3600 + 845= 10 445 m3
10) Find the volume of the earth. The radius is 6371 km.
4.2 Worksheet Key
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10) Find the volume of the earth. The radius is 6371 km.
V = 4πr3 = 4π(6371)3 3 3
V = 4π(258 596 602 811) 3
V = 1 083 209 449 854.7 cm3
