Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The diameter of the base and the slant height of a right circular cone are 10 cm and 16 cm, respectively. Find its total surface area. [Use $π =\frac{22}{7}]$

Options:

$\frac{5720}{7}$ cm2

$\frac{720}{7}$ cm2

330  cm2

$\frac{1760}{7}$ cm2

Correct Answer:

330  cm2

Explanation:

We know that,

Formula of  Total surface area of a cone = πr(l + r)

We have,

Diameter = 10 cm

Then the radius of the cone = \(\frac{ 10}{2}\) = 5 cm

Total surface area of cone = πr(l + r) = 5 × \(\frac{22}{7}\)× (16 + 5) = 330 cm²