Common Core 8.G.C.9 worksheet
8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.C.9, 8.EE.A.2, 7.G.B.6 · England: GCSE Foundation Geometry, GCSE Higher Geometry, KS3 Geometry and measures
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Question 1
A cone has radius 2 cm and height 3 cm. Its volume is kπ cm³. What is k?
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Question 2
A cylinder has volume 448π m³ and height 7 m. What is its radius, in m?
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Question 3
A cylinder and a cone have the same radius and height. The cylinder holds 69 ml. Amara says the cone holds 34.5 ml. How much does the cone really hold, in ml?
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Question 4
Find the volume of a sphere with radius 4 cm, to 1 decimal place.
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Question 5
A cylinder has volume 275π cm³ and radius 5 cm. What is its height, in cm?
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Question 6
A water bottle is a cylinder 10 cm across and 10 cm tall. How many litres does it hold? (1 litre = 1000 cm³.) Round to 2 decimal places.
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Question 7
A sphere has volume 2304π cm³. What is its radius, in cm?
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Question 8
A label wraps exactly once around a can with radius 4 cm and height 19 cm (no overlap, no top or bottom). Its area is kπ cm². What is k?
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Question 9
A sphere has radius 6 yd. Its volume is kπ yd³. What is k?
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Question 10
A cylinder has radius 9 m and height 13 m. Its volume is kπ m³. What is k?
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Question 11
A cylinder has radius 1 cm and height 9 cm. Find its volume in cm³, to 1 decimal place.
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Question 12
A cylinder has radius 2 yd and height 15 yd. Find its volume in yd³, rounded to 1 decimal place.
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Question 13
An ice-cream cone has radius 4 cm and height 10 cm. Find its volume in cm³, to 1 decimal place.
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Question 14
A cone has radius 6 cm and height 9 cm. Its volume is kπ cm³. What is k?
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Question 15
A football has a diameter of about 22 cm. Estimate the volume of air inside, in cm³, to the nearest whole number.
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Question 16
A sphere has radius 3 cm. Its volume is kπ cm³. What is k?
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