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U11L8 Volume of Pyramids and Cones Notes
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Name: Topic: Main Ideas/Questions Notes Pyramids = Bh V= B = area of the base h = height 7²+x²=25² x²=576 X = 24 x²+14²=22.12 x² = = 292.41 X=17.1 2. Find the volume of each pyramid below. 1. 3. 25 ft 4. 10 in 5. 10 mm 14 ft 6. 14 m 16 cm 10 cm 5√3 21 yd 11 in 16 in 14 ft 12 mm 22.1 m 7.5 mm 5 yd 19 m 10 cm 10 cm Date: 9 yd Class: B = 10 (11) = 110 V=13 (110)(16) 586.67in3 = B = 2119) = 189 V = 13(189)(5) 315 yd 3 B = 14² = 196 V = (196)24) =11568 +3 B = 1/2(12)(7-5) = 45 V = 1/3 (45)(10) =1150mm 3 B = 1/2 (14) (171) = 119.7 V = 1/3(119.7) (19) =758.1m3 B=12(10)(5√√3) = 43.3 V=1/3 (43.3)(16) 230.93 cm3 Gina Wilson (All Things Algebra), 2015 Cones V=²™r²³h r = radius h = height Applications 25 in 18 in 25 in 20 Find the volume of each cone below. 7. 9 yd 8. 9. 5 in L C 17 yd 8 in 27 km = Vcyl 22.5 km V=1/3 TT (9)² (17) = 459T =1441.99 yd 3 10. A cone has a volume of 1309 cm³. If the height of the cone is 8 centimeters, find its radius. 1309 3927 = πr ².8 156.25=2 V=13π(25) ² (8) =50π 3 = 52.36 in 3 уз пр2.8 V=13 (625) (18) = 3750in3 V = π(13.5) ² (18) : 1093.5T 3435.33km3 r=12.5cm 11. Katylyn must build a sand castle in the form of a square pyramid for a project, as shown to the left. She bought 3 bags of sand, each containing 1200 in³ of sand. Will she have enough sand to build the castle? B= 25² =625 3(1200) = 3600 in3 No, she will be 150 in 3 short! 11. The cylinder to...
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Alternative transcript:
the left contains two congruent hollow cones. If the cylinder's height is 20 inches and its diameter is 14 inches, find the volume of the solid. = π(1) ² (20) = 980TT = 3078.76 in 3 Vcone = 2(13⋅TT · 7² · 10) = 1026.25 3078.76-1026.25= 2052.51 in 3 Gina Wilson (All Things Algebra), 2015
U11L8 Volume of Pyramids and Cones Notes
U11L8 Volume of Pyramids and Cones Notes
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Name: Topic: Main Ideas/Questions Notes Pyramids = Bh V= B = area of the base h = height 7²+x²=25² x²=576 X = 24 x²+14²=22.12 x² = = 292.41 X=17.1 2. Find the volume of each pyramid below. 1. 3. 25 ft 4. 10 in 5. 10 mm 14 ft 6. 14 m 16 cm 10 cm 5√3 21 yd 11 in 16 in 14 ft 12 mm 22.1 m 7.5 mm 5 yd 19 m 10 cm 10 cm Date: 9 yd Class: B = 10 (11) = 110 V=13 (110)(16) 586.67in3 = B = 2119) = 189 V = 13(189)(5) 315 yd 3 B = 14² = 196 V = (196)24) =11568 +3 B = 1/2(12)(7-5) = 45 V = 1/3 (45)(10) =1150mm 3 B = 1/2 (14) (171) = 119.7 V = 1/3(119.7) (19) =758.1m3 B=12(10)(5√√3) = 43.3 V=1/3 (43.3)(16) 230.93 cm3 Gina Wilson (All Things Algebra), 2015 Cones V=²™r²³h r = radius h = height Applications 25 in 18 in 25 in 20 Find the volume of each cone below. 7. 9 yd 8. 9. 5 in L C 17 yd 8 in 27 km = Vcyl 22.5 km V=1/3 TT (9)² (17) = 459T =1441.99 yd 3 10. A cone has a volume of 1309 cm³. If the height of the cone is 8 centimeters, find its radius. 1309 3927 = πr ².8 156.25=2 V=13π(25) ² (8) =50π 3 = 52.36 in 3 уз пр2.8 V=13 (625) (18) = 3750in3 V = π(13.5) ² (18) : 1093.5T 3435.33km3 r=12.5cm 11. Katylyn must build a sand castle in the form of a square pyramid for a project, as shown to the left. She bought 3 bags of sand, each containing 1200 in³ of sand. Will she have enough sand to build the castle? B= 25² =625 3(1200) = 3600 in3 No, she will be 150 in 3 short! 11. The cylinder to...
Name: Topic: Main Ideas/Questions Notes Pyramids = Bh V= B = area of the base h = height 7²+x²=25² x²=576 X = 24 x²+14²=22.12 x² = = 292.41 X=17.1 2. Find the volume of each pyramid below. 1. 3. 25 ft 4. 10 in 5. 10 mm 14 ft 6. 14 m 16 cm 10 cm 5√3 21 yd 11 in 16 in 14 ft 12 mm 22.1 m 7.5 mm 5 yd 19 m 10 cm 10 cm Date: 9 yd Class: B = 10 (11) = 110 V=13 (110)(16) 586.67in3 = B = 2119) = 189 V = 13(189)(5) 315 yd 3 B = 14² = 196 V = (196)24) =11568 +3 B = 1/2(12)(7-5) = 45 V = 1/3 (45)(10) =1150mm 3 B = 1/2 (14) (171) = 119.7 V = 1/3(119.7) (19) =758.1m3 B=12(10)(5√√3) = 43.3 V=1/3 (43.3)(16) 230.93 cm3 Gina Wilson (All Things Algebra), 2015 Cones V=²™r²³h r = radius h = height Applications 25 in 18 in 25 in 20 Find the volume of each cone below. 7. 9 yd 8. 9. 5 in L C 17 yd 8 in 27 km = Vcyl 22.5 km V=1/3 TT (9)² (17) = 459T =1441.99 yd 3 10. A cone has a volume of 1309 cm³. If the height of the cone is 8 centimeters, find its radius. 1309 3927 = πr ².8 156.25=2 V=13π(25) ² (8) =50π 3 = 52.36 in 3 уз пр2.8 V=13 (625) (18) = 3750in3 V = π(13.5) ² (18) : 1093.5T 3435.33km3 r=12.5cm 11. Katylyn must build a sand castle in the form of a square pyramid for a project, as shown to the left. She bought 3 bags of sand, each containing 1200 in³ of sand. Will she have enough sand to build the castle? B= 25² =625 3(1200) = 3600 in3 No, she will be 150 in 3 short! 11. The cylinder to...
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Knowunity is the # 1 ranked education app in five European countries
Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
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iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
the left contains two congruent hollow cones. If the cylinder's height is 20 inches and its diameter is 14 inches, find the volume of the solid. = π(1) ² (20) = 980TT = 3078.76 in 3 Vcone = 2(13⋅TT · 7² · 10) = 1026.25 3078.76-1026.25= 2052.51 in 3 Gina Wilson (All Things Algebra), 2015