Question

find the area of curved surface if area of base of cylindrical tank is 176cm and height is 30 cm

Answer 1

Answer:

1

Step-by-step explanation:

Answer 2

$\huge\sf{\underline{\underline{Solution:}}}$

Given:

• Area of base = 176 cm²
• Height = 30 cm

To find:

• Curved Surface Area of Cylinder = 2πrh

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■ calculate the value of 'r' for substituting in the above formula.

⇒ πr² = 176

⇒ r² = 176/π  [ π = 22/7 ]

⇒ r² = 176 × 7/22

⇒ r² = 56

⇒ r = √56 = 2√14

Hence value of 'r' is 2√14 .

Substituting in the CSA formula,

⇒ 2 × 22/7 × 2√14 × 30

⇒ 2 × 22/7 × 7.48 × 30

⇒ 1320/7 × 7.48

⇒ 1410.5 cm

Hence the curved surface area of the given cylinder is 1410.5 cm².