hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    3 right circular cylinders having the same base radius (r cm) and the same height (h cm) are placed one upon the other, to form another right cylinder
    Question

    3 right circular cylinders having the same base radius (r cm) and the same height (h cm) are placed one upon the other, to form another right cylinder whose radius of base is also r cm. The total surface area (in cm2\text{cm}^2) of this new right cylindrical solid so formed is:

    A.

    4πrh+4πr24πrh+4πr^2​​

    B.

    6πrh+2πr26πrh+2πr^2​​

    C.

    6πrh+4πr26πrh+4πr^2​​

    D.

    6πrh+6πr26πrh+6πr^2​​

    Correct option is B

    Given:

    3 right circular cylinder having same base(r cm) and same height(h cm) are placed upon one another

    Formula Used:

    Total surface area of cylinder = 2πrh+2πr22\pi rh + 2 \pi r^2​​

    Solution:

    When cylinders are joined height will be = 3h cm

    Radius of base is same = r cm

    Total surface area =2πr(3h)+2πr2 2 \pi r(3h) + 2 \pi r^2

    = 6πrh+2πr26 \pi rh + 2 \pi r^2​​

    Free Tests

    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    CBT-1 General Awareness Section Test 1

    languageIcon English
    • pdpQsnIcon40 Questions
    • pdpsheetsIcon30 Marks
    • timerIcon25 Mins
    languageIcon English
    test-prime-package

    Access ‘RRB Group D’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow