Question

1. a can has a radius of 1.5 inches and a height of 3 inches. which of the following best represents the volume of the can? use 3.14 for π. 17.2 in³ 19.4 in³ 21.2 in³ 23.4 in³

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$

Step2: Substitute given values

$r = 1.5$ in, $h = 3$ in, $\pi = 3.14$
First calculate $r^2$: $1.5^2 = 2.25$

Step3: Compute intermediate product

Multiply $r^2$ by $h$: $2.25 \times 3 = 6.75$

Step4: Calculate final volume

Multiply by $\pi$: $3.14 \times 6.75 = 21.195$

Step5: Round to one decimal

$21.195 \approx 21.2$

Answer:

21.2 in³