29 In this question all measurements are in centimetres. R 2R NOT TO SCALE 5R x Solid A Solid B Solid A is made from a cylinder and a hemisphere, both of radius 2R. The cylinder has height 5R. Solid B is a cone of radius R and sloping edge x. The total surface area of solid A is equal to the total surface area of solid B. Find R in terms of x. R = ................................................ [5] (cid:300)(cid:215)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:184)(cid:258)(cid:215) © UCLES 2025 (cid:300)(cid:264)(cid:176)(cid:243)(cid:214)(cid:298)(cid:244)(cid:272)(cid:227)(cid:263)(cid:248)(cid:271)(cid:182)(cid:281)(cid:191)(cid:258)(cid:249)(cid:258) 0580/23/O/N/25 (cid:293)(cid:293)(cid:261)(cid:213)(cid:181)(cid:213)(cid:197)(cid:245)(cid:229)(cid:181)(cid:277)(cid:261)(cid:261)(cid:277)(cid:197)(cid:277)(cid:293)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000020 * 20 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44) BLANK PAGE Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. (cid:300)(cid:213)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:184)(cid:260)(cid:215) © UCLES 2025 (cid:300)(cid:264)(cid:176)(cid:242)(cid:214)(cid:292)(cid:258)(cid:281)(cid:216)(cid:265)(cid:239)(cid:280)(cid:280)(cid:181)(cid:285)(cid:274)(cid:257)(cid:258) 0580/23/O/N/25 (cid:293)(cid:213)(cid:213)(cid:213)(cid:245)(cid:213)(cid:197)(cid:213)(cid:197)(cid:277)(cid:293)(cid:261)(cid:197)(cid:277)(cid:293)(cid:277)(cid:245)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD DFD