the volume of a cylinder is 88 cm cube and its side is 63 cm find the curved surface area and the total surface area of the cylinder
Answers
curved surface area = 264 cm² and total surface area = 266.8 cm²
given, volume of cylinder = 88 cm³
side length of cylinder , l = 63 cm
we have to find the curved surface area and total surface area.
volume of cylinder = πr²l
⇒ 88 cm³ = πr²(63 cm)
⇒88 = 22/7 × r² × 63
⇒4 = 9r²
⇒r = 2/3
now, curved surface area = 2πrl
= 2 × 22/7 × 2/3 × 63
= 88 × 3
= 264 cm²
total surface area = 2πr² + 2πrl
= 2 × 22/7 × (2/3)² + 264 cm²
= 44/7 × 4/9 + 264 cm²
= 176/63 + 264 cm²
= 2.8 + 264 cm²
= 266.8 cm²
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