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. 196.40 cm³ c. 196.25 cm³ d. 185.30 cm³

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume formula for 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 \(r = 2.5\ \text{cm}\), \(h=10\ \text{cm}\), and \(\pi\approx3.14\). Then \(V = 3.14\times(2.5)^{2}\times10\).

Step3: Calculate \((2.5)^{2}\)

\((2.5)^{2}=2.5\times2.5 = 6.25\).

Step4: Calculate the product

\(V=3.14\times6.25\times10\). First, \(3.14\times6.25=(3 + 0.14)\times6.25=3\times6.25+0.14\times6.25=18.75+0.875 = 19.625\). Then \(19.625\times10=196.25\).

Answer:

C. \(196.25\ \text{cm}^3\)