Find the volume of composite solids
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.GMD.A.3, HSG.MG.A.1 · England: GCSE Higher Geometry
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Question 1
A capsule is a cylinder of radius 7 cm and length 12 cm with a hemisphere on one end. Find its volume to 1 decimal place.
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Question 2
A rocket model is a cylinder (radius 8 cm, height 10 cm) with a cone (same radius, height 10 cm) on top. Find its volume to 1 decimal place.
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Question 3
A cone with the same base and height is drilled out of a solid cylinder (radius 4 cm, height 12 cm). Give the exact remaining volume as a multiple of π.
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Question 4
A capsule is a cylinder of radius 7 cm and length 8 cm with a hemisphere on one end. Find its volume to 1 decimal place.
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Question 5
A rocket model is a cylinder (radius 3 cm, height 10 cm) with a cone (same radius, height 9 cm) on top. Find its volume to 1 decimal place.
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Question 6
A cone with the same base and height is drilled out of a solid cylinder (radius 3 cm, height 8 cm). Give the exact remaining volume as a multiple of π.
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Question 7
A capsule is a cylinder of radius 5 cm and length 5 cm with a hemisphere on one end. Find its volume to 1 decimal place.
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Question 8
A rocket model is a cylinder (radius 7 cm, height 8 cm) with a cone (same radius, height 7 cm) on top. Find its volume to 1 decimal place.
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Question 9
A cone with the same base and height is drilled out of a solid cylinder (radius 7 cm, height 14 cm). Give the exact remaining volume as a multiple of π.
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Question 10
A capsule is a cylinder of radius 7 cm and length 14 cm with a hemisphere on one end. Find its volume to 1 decimal place.
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Question 11
A rocket model is a cylinder (radius 2 cm, height 13 cm) with a cone (same radius, height 4 cm) on top. Find its volume to 1 decimal place.
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Question 12
A cone with the same base and height is drilled out of a solid cylinder (radius 7 cm, height 5 cm). Give the exact remaining volume as a multiple of π.
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Question 13
A capsule is a cylinder of radius 7 cm and length 4 cm with a hemisphere on one end. Find its volume to 1 decimal place.
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Question 14
A rocket model is a cylinder (radius 6 cm, height 9 cm) with a cone (same radius, height 10 cm) on top. Find its volume to 1 decimal place.
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Question 15
A cone with the same base and height is drilled out of a solid cylinder (radius 6 cm, height 12 cm). Give the exact remaining volume as a multiple of π.
Answer
Question 16
A capsule is a cylinder of radius 7 cm and length 5 cm with a hemisphere on one end. Find its volume to 1 decimal place.
Answer
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