Question

1. find the volume of a cylinder with a radius of 4 cm and height 10 cm. (use 3.14 for pi).

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \( V \) 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

We are given that \( r = 4\space\text{cm} \), \( h=10\space\text{cm} \) and \( \pi = 3.14 \). Substituting these values into the formula, we get \( V=3.14\times(4)^{2}\times10 \).

Step3: Calculate \( (4)^{2} \)

First, calculate \( 4^{2}=16 \). So now the formula becomes \( V = 3.14\times16\times10 \).

Step4: Multiply the numbers

First, multiply \( 3.14\times16 = 50.24 \). Then multiply \( 50.24\times10=502.4 \).

Answer:

The volume of the cylinder is \( 502.4\space\text{cubic centimeters} \)