Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The total surface area of a cylinder is 220 sq. cm with height 6.5 cm. Find its volume

Options:

25.025 cm3

2.5025 cm3

2502.5 cm3

250.25 cm3

Correct Answer:

250.25 cm3

Explanation:

TSA = 2πr(r + h)220 = $2×\frac{22}{7}×r(r+\frac{13}{2})$

$⇒r=-10,\frac{7}{2}$

Since radius cannot be negative

$∴r=\frac{7}{2}$ ∴ πr2h = 250.25 cm3

Hence, volume of the cylinder = 250.25 cm3