Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The cylindrical vessel contains 49.896 litres of liquid. The cost of painting its curved surface area at 2 paise/sq cm 95.04. Find its total surface area.

Options:

5724 cm2

7524 cm2

5742 cm2

7254 cm2

Correct Answer:

7524 cm2

Explanation:

V = 49.896 × 10000 cm3

$∴πr^2h=49896cm^3$

C.S.A = $\frac{9504}{2}cm^2$

∴ 2πrh = 4752

$⇒\frac{πr^2h}{2πrh}=\frac{49896}{4752}$

⇒ 21 and h = 36 T.S.A.

= 2πr(h + r) = 7524 cm2