Question

for the cylindrical vessel height is 10 m and curved surface area is 110 m cube then find its radius​

Answer 1

Correct Question

• Height = 10 m
• Curved surface area = 110 m²

Explanation:

Let the Radius of the Cylinder be x

FORMULA

$\circ {\boxed{\underline{\sf{ Curved \ Surface \ Area_{(C.S.A.)} = 2πrh }}}}$

Where as:

• π = 22/7 or 3.14
• r = Radius
• h = Height

According to Question,

$\\ \colon\implies{\sf{ C.S.A = 2 πrh }} \\ \\ \\ \colon\implies{\sf{ 110 = 2 \times \dfrac{22}{7} \times x \times 10 }} \\ \\ \\ \colon\implies{\sf{ \dfrac{ \cancel{110} \times 7}{2 \times 22 \times \cancel{10} } = x }} \\ \\ \\ \colon\implies{\sf{ \dfrac{ \cancel{11 } \times 7 }{2 \times \cancel{22} } = x }} \\ \\ \\ \colon\implies{\sf{ \cancel{ \dfrac{7}{4} } = x }} \\ \\ \\ \colon\implies{\boxed{\mathfrak\pink{ x = 1.75 \ m }}}$

Hence,

• The Radius of the Cylindrical Vessel is 1.75 m.