The axial section of the cylinder is a square whose diagonal is 4 cm. Find the total surface area of ​​the cylinder

Lucille Douglas

Lucille Douglas

Answered question

2022-09-13

The axial section of the cylinder is a square whose diagonal is 4 cm. Find the total surface area of ​​the cylinder

Answer & Explanation

William Collins

William Collins

Beginner2022-09-14Added 12 answers

The axial section of the cylinder is a square whose diagonal is 4 cm, then
side of the square by theorem pythagorean = 16 / 2 = 8 = 2 2
then the radius = 2
means S b a s i c = π R 2 , then
Area 2 bases = 4 π
S l a t e r a l   s u r f a c e = c i r c u m f e r e n c e h e i g h t
S l a t e r a l   s u r f a c e = 2 π R h = 2 π 2 2 2 = 8 π
S f u l l   s u r f a c e = 2 S b a s i c + S l a t e r a l   s u r f a c e = 4 π + 8 π = 12 π c m 2

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