Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

Find the curved surface area of a cone having base diameter 42 cm and height 20 cm. $\left(π=\frac{22}{7}\right)$

Options:

$1642 cm^2$

$1876 cm^2$

$1914 cm^2$

$2016 cm^2$

Correct Answer:

$1914 cm^2$

Explanation:

Given,

Diameter of the cone = 42 cm

Radius of the base of the cone = 21 cm

Slant height of the cone,

l2 = r2 + h2

l2 = 212 + 202

l = 29 cm

Curved surface area of cone = πrl

\(\frac{22}{7}\) × 21 × 29 = 1914 cm2