Question Details

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

Options

A

1625.37 cm3

B

1821.47 cm3

C

1428.78 cm3

D

1527.43 cm3

Show Answer

Correct Answer :

Option D

1527.43 cm3

Solution :

The correct answer is 1527.43 cm3.

Given:
Radius of the hemispherical bowl, r=9 cm
Value of π=227

Formula:
The capacity (volume) of a hemispherical bowl is calculated using the formula:
V=23πr3

Step-by-step Calculation:
Substitute the radius r=9 cm into the formula:
V=23×227×93
Evaluating 93=729:
V=23×227×729
Simplifying by dividing 729 by 3 (7293=243):
V=2×227×243
Multiplying the terms in the numerator:
V=44×2437
V=106927
V1527.42857 cm3

Rounding to two decimal places gives 1527.43 cm3.

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