Answer:
The capacity of the mug is 1,527.43 cm^3
Explanation:
In this question, we are asked to calculate the capacity of the hemisphere. This is same as calculating the volume of the hemisphere.
A hemisphere is a sharpe which is half a sphere. Meaning to get a hemisphere, we shall be diving a sphere into 2.
Mathematically, the volume of a hemisphere V = 2/3 * π * r^3
Since D = 18cm , r = D/2 = 18cm/2 = 9 cm
The volume V is thus = 2/3 * 22/7 * 9^3
V = 1,527.428 cm^ 3
To the nearest hundredth,
V = 1,527.43 cm^3