Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A cone of height 7 cm and radius 3 cm is carved from a cuboidal block of wood of dimensions 10 cm x 5 cm x 2 cm. The percentage wood wasted in the process is?

Options:

25%

36%

40%

34%

Correct Answer:

34%

Explanation:

volume of block of word = 10 × 5 × 2 = 100 cm3

volume of cone = \(\frac{1}{3}\) \(\pi \) r2h

                       =  \(\frac{1}{3}\) × \(\frac{22}{7}\) × 3 × 3 × 7

                       = 66 cm3

Wastage = 100 - 66 = 34

⇒ Waste percentage = \(\frac{34}{100}\) = 34%