arrow
arrow
arrow
The volume of a right circular cone is 168π cm3 and its height is 0.12 m. Find its radius.
Question

The volume of a right circular cone is 168π cm3 and its height is 0.12 m. Find its radius.

A.

41\sqrt {41}​ cm

B.

√43 cm

C.

42\sqrt {42}​ cm

D.

47\sqrt {47}​ cm

Correct option is C

Given:
Volume of the right circular cone = 168π cm³
Height of the cone = 0.12 m = 12 cm (converted to cm)
Formula Used:
The formula for the volume of a cone is:
V = 13\frac 13​× π × r² × h
where,
V = Volume, r = radius, h = height, π = constant
Solution:
168π=13×π×r2×12168π=4πr2r2=1684=42r=42168\pi = \frac{1}{3} \times \pi \times r^2 \times 12 \\168\pi = 4\pi r^2 \\r^2 = \frac{168}{4} = 42 \\r = \sqrt{42}​​


test-prime-package

Access ‘SSC GD’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
166k+ students have already unlocked exclusive benefits with Test Prime!

Free Tests

Free
Must Attempt

SSC CPO T-I PYP (Held on 27 June 2024 S1)

languageIcon English
  • pdpQsnIcon200 Questions
  • pdpsheetsIcon200 Marks
  • timerIcon120 Mins
languageIcon English
Free
Must Attempt

English Comprehension Section Test 01

languageIcon English
  • pdpQsnIcon50 Questions
  • pdpsheetsIcon50 Marks
  • timerIcon20 Mins
languageIcon English
Free
Must Attempt

SSC JHT 2025 Mini Mock 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon60 Mins
languageIcon English