Question

1. a cylinder has a radius of 2.5 cm and a height of 10 cm. what is its approximate volume using π ≈ 3.14?

a. 200.50 cm³
b. 196.25 cm³
c. 196.40 cm³
d. 185.30 cm³

Explanation:

Step1: Recall the formula for the volume of 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: Substitute the given values into the formula

Given \(r = 2.5\space\text{cm}\), \(h=10\space\text{cm}\), and \(\pi\approx3.14\). First, calculate \(r^{2}=(2.5)^{2}=6.25\). Then \(V = 3.14\times6.25\times10\).

Step3: Perform the multiplication

\(3.14\times6.25\times10=(3.14\times6.25)\times10\). \(3.14\times6.25 = 19.625\), and \(19.625\times10=196.25\space\text{cm}^{3}\).

Answer:

B. \(196.25\space\text{cm}^{3}\)