Question

1. a cylinder has a radius of 4 cm and a height of 7 cm. which is closest to its volume? (π ≈ 3.14)

a. 250.79 cm³
b. 351.68 cm³
c. 450 cm³
d. 400 cm³

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $r$ is radius, $h$ is height.

Step2: Substitute given values

$r=4\ \text{cm}$, $h=7\ \text{cm}$, $\pi\approx3.14$
$V = 3.14 \times 4^2 \times 7$

Step3: Calculate step-by-step

First compute $4^2 = 16$, then $3.14 \times 16 = 50.24$, finally $50.24 \times 7 = 351.68$

Answer:

b. $351.68\ \text{cm}^3$