Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The radius of the base of a conical tent is 8 m and its height is 15 m. What is the cost of the material needed to make it, if it costs Rs.54 per π m2 ?

Options:

Rs.6454

Rs.7344

Rs.8678

Rs.7454

Correct Answer:

Rs.7344

Explanation:

Slant height of the cone (l) = \(\sqrt{r^2+ h^2}\)  = \(\sqrt{8^2 + 15^2}\) = 17

Curved Surface area of cone = πrl

                                          = π x 8 x 17 m2 = 136π m2

⇒ Cost of covering 1π m2 = Rs.54

⇒ Cost of covering 136π m2 = 54 x 136 = Rs.7344