GCE Mathematics 2024 Objective — Question 32
Question 32 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.
Advertisement
A cone and a cylinder are of equal volume. The base radius of the cone is twice the radius of the cylinder. What is the ratio of the height of the cylinder to that of the cone?
- A. A. 5:4
- B. B. 4:3Correct
- C. C. 3:2
- D. D. 3:4
Explanation
Let cylinder radius=r, cone radius=2r. Volume cylinder=πr²h_cyl. Volume cone=(1/3)π(2r)²h_cone=(4/3)πr²h_cone. Equal volumes: h_cyl=(4/3)h_cone → h_cyl:h_cone=4:3.
Advertisement
Sign up free to unlock
- Score tracking
- Practice history
- Saved questions
- Progress dashboard
- Personalized sessions
- Weak-topic breakdown
…and/or go further with premium services and No Ads.