Question

A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold? A 2.094 cm B. 524 cm C. 262 cm

Answer 1

C. 262 cm

Explanation:

Use the formula for the volume of a sphere, V =
`(4)/(3)`
`\pi`r³

Since the diameter is 10 cm, the radius will be 5 cm

Plug in the radius into the formula:

V =
`(4)/(3)`
`\pi`(5³)

V =
`(4)/(3)`
`\pi`(125)

V = 523.6

Since the bowl is a hemisphere, divide this by 2:

523.6/2

= 261.8

Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.

So, the correct answer is C. 262 cm