hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Find the diameter of the sphere whose volume is 38167\frac{6}{7}76​ m³.​
    Question

    Find the diameter of the sphere whose volume is 38167\frac{6}{7} m³.​

    A.

    8m

    B.

    7m

    C.

    9m

    D.

    18m

    Correct option is C

    Given:
    Volume of the sphere = 38167\frac{6}{7}​ m³ =26737\frac{2673}{7} m³  
    Formula Used:  
    Volume of the sphere = 43πr3\frac{4}{3}{\pi}r^3  
    Solution: 
    43πr3\frac{4}{3}{\pi}r^3 = 26737\frac{2673}{7}​ m³
    r³ = 2673×7×37×22×4\frac{2673×7×3 }{7×22×4}
    (d2)3=91.125\left( \frac{d}{2} \right)^3 = 91.125

    d3 = 729 m
    d = 9 m

    Free Tests

    Free
    Must Attempt

    SSC GD PYP (Held on 4 Feb 2025 S1)

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    Hindi Section Test 1

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon40 Marks
    • timerIcon12 Mins
    languageIcon English
    Free
    Must Attempt

    SSC GD Constable Full Mock Test 1

    languageIcon English
      0
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    test-prime-package

    Access ‘SSC MTS’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    399k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow