Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (Use $\pi=\frac{22}{7}$ )

Options:

345.6 cm3

359.3 cm3

379.3 cm3

369.3 cm3

Correct Answer:

359.3 cm3

Explanation:

Volume of a frustum of cone = \(\frac{π}{3}\)h(R2 + r2 + Rr)

=  \(\frac{22}{7}\) ×  \(\frac{7}{3}\) × (52 + 32 + 5 × 3)

=  \(\frac{22}{7}\) × 49 = 359.3 cm3