Question

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

Answer 1

Answer:

23.89 cm^3

Step-by-step 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 = $\frac{4}{3} \pi r^{3}$

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= $\frac{4}{3} \pi (1.45)^{3}$

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