Question

What is the approximate radius of the bowl shown that is shaped as a hemisphere

Answer 1

Approximate radius of the given hemisphere is 3 in.

Explanation:

Formula to calculate the volume of a hemisphere is given by,

V =
`(2)/(3)\pi r^(3)`

Since, volume of the given hemisphere in the picture = 56.52 in²

By substituting the value of V in the formula,

56.52 =
`(2)/(3)\pi r^(3)`

Now solve the expression for the value of 'r',

r³ =
`(3)/(2\pi )(56.52)`

r³ = 26.99

r = ∛(26.99)

r = 3 in.

Therefore, approximate radius of the given hemisphere is 3 in.