Question

what is the volume of the drill bit?
a. 1,620π mm³
b. 2,592π mm³
c. 1,458π mm³
d. 2,106π mm³

Explanation:

Step1: Identify the shape (cylinder)

The drill bit is a cylinder. The formula for the volume of a cylinder is \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Extract values

From the diagram, \( r = 9 \, \text{mm} \) and \( h = 18 \, \text{mm} \).

Step3: Substitute into formula

Substitute \( r = 9 \) and \( h = 18 \) into \( V = \pi r^2 h \):

$$ V = \pi \times 9^2 \times 18 $$

Step4: Calculate \( 9^2 \)

\( 9^2 = 81 \), so:

$$ V = \pi \times 81 \times 18 $$

Step5: Multiply 81 and 18

\( 81 \times 18 = 1458 \), so:

$$ V = 1458\pi \, \text{mm}^3 $$

Answer:

C. \( 1,458\pi \, \text{mm}^3 \)