Question

Determine the volume of the shaded region. Use the pie
button on your calculator.

Answer 1

23.89 cm^3

Explanation:

You will need to use two volume formulas. Find the volume. Then subtract their volume to find whats left over.

1. Volume of cylinder formula- V =
`\pi r^(2) h`

The h = 8.8 and the

The r = 1.5 (radius is half of the diameter which is 3)

Substitute the numbers into the formula

V=
`\pi`
`1.5^(2)`8

V= 62.2 cm

2. Volume of Sphere formula- V =
`(4)/(3) \pi r^(3)`

The r = 1.45 (radius is half of the diameter which is 2.9) (radius of the circle)

Substitute the numbers into the formula

V=
`(4)/(3) \pi (1.45)^(3)`

V= 12.77

Since there are 3 sphere's we need to multiple 12.77 * 3 = 38.31

3. Subtract the total volumes from the cylinder and the 3 sphere's

62.2 - 38.31 = 23.89

The V = 23.89