1. Cone – Volume – Higher – GCSE Questions – AQA
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in 2 sizes.

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3. AQA Higher: May 2017 Paper 1, Q28 AQA Higher: May 2017 Paper 1, Q28
Volume of cone = 𝜋𝑟2ℎ
where r is the radius and h is the perpendicular height.
A cone has a
horizontal base of radius 6 cm
height of 12 cm
The cone contains water to a depth of 8 cm
Volume of cone = 𝜋𝑟2ℎ
where r is the radius and h is the perpendicular height.
A cone has a
horizontal base of radius 6 cm
height of 12 cm
The cone contains water to a depth of 8 cm 1 1
12 cm
12 cm
8 cm
8 cm
Work out the volume of the water, in cm3
Give your answer in terms of 𝜋.
Work out the volume of the water, in cm3
Give your answer in terms of 𝜋.
6 cm
6 cm
[4 marks]
[4 marks]
Answer
Answer

5. AQA Higher: May 2017 Paper 1, Q28 Volume of cone = 1 3 𝜋𝑟2ℎ 1
where r is the radius and h is the perpendicular height.
A cone has a
horizontal base of radius 6 cm
height of 12 cm
The cone contains water to a depth of 8 cm 1
12 cm
8 cm
Work out the volume of the water, in cm3
Give your answer in terms of 𝜋.
6 cm
[4 marks]
Answer

6. Radius of smaller cone:
AQA Higher: May 2017 Paper 1, Q28
Volume of cone = 𝜋𝑟2ℎ
where r is the radius and h is the perpendicular height.
A cone has a
horizontal base of radius 6 cm
height of 12 cm
The cone contains water to a depth of 8 cm 1
4 cm R
12 cm
8 cm
Work out the volume of the water, in cm3
Give your answer in terms of 𝜋.
6 cm
[4 marks]
Total Vol. = × 𝜋 × 36 × 12
= 432 𝜋 3 =144𝜋
𝑅 6 = 12−8 12
Radius of smaller cone:
(similarity)
𝑅=2 𝑐𝑚
Small Vol. = × 𝜋 × 42 × 4
= 64 𝜋 3 =5 1 3 𝜋
Water Vol.
= 144𝜋−5 1 3 𝜋 = 𝜋
Answer

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