May/June 2026 Paper 23

2026 · 28 questions · 46 parts · 100 marks

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20Similarity CongruenceMedium3 marks

Two mathematically similar cylinders, not to scale: cylinder A with height h cm and the larger cylinder B with height 12 cm

The two cylinders,

A

and

B

, are mathematically similar. The surface area of

A

is

80 cm^{2}

and the surface area of

B

is

180 cm^{2}

. The height of

A

is

h

cm and the height of

B

is 12 cm.

Find the value of

h

.