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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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