Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The radius of the base of a solid right circular cone is 8 cm and its height is 15 cm. The total surface area of the cone is:

Options:

120 $\pi$

200 $\pi$

128 $\pi$

136 $\pi$

Correct Answer:

200 $\pi$

Explanation:

We know that,

l2 = r2 + h2

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

We have, r = 8 cm

h = 15 cm

According to the question,

l2 = 82 + 152

l2 = 64 + 225

l2 = 289

l = 17

Total surface area of cone = π × 8 × (17 + 8) = π × 8 × 25 = 200 π