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    The radius of a hemispherical bowl is 9 cm. The capacity of the bowls is: (Use π = 22/7)
    Question

    The radius of a hemispherical bowl is 9 cm. The capacity of the bowls is:
    (Use π = 22/7)

    A.

    1625.37 cm3

    B.

    1821.47 cm3

    C.

    1428.78 cm3

    D.

    1527.43 cm3

    Correct option is D

    Given:
    Radius of the hemispherical bowl r=9 cm r = 9 \, \text{cm}​​
    π=227\pi = \frac{22}{7}

    Formula Used:

    Volume of a hemisphere:

    V = 23πr3\frac{2}{3} \pi r^3​​

    where r is the radius of the hemisphere.​​

    Solution:

    V = 23×227×(9)3\frac{2}{3} \times \frac{22}{7} \times (9)^3​​

    V = 23×227×729\frac{2}{3} \times \frac{22}{7} \times 729

    V =  2×22×7293×7\frac{2 \times 22 \times 729}{3 \times 7}

    V = 3207621\frac{32076}{21}

    V = 1527.43 cm31527.43 \, \text{cm}^3​​
    The capacity of the hemispherical bowl is 1527.43 cm³
    Thus, the correct option is (d) 

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