Question

a right circular cylinder has a radius of 1 centimeter (cm) and a height of 8 cm. what is the volume of the cylinder? use 3.14 to approximate π and round your answers to the nearest tenth. \boxed{\space} cm³

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume \( V \) of a right circular cylinder is given by the formula \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

We are given that \( r = 1\space\text{cm} \), \( h=8\space\text{cm} \), and \( \pi\approx3.14 \). Substituting these values into the formula, we get:
\( V = 3.14\times(1)^{2}\times8 \)

Step3: Simplify the expression

First, calculate \( (1)^{2}=1 \). Then, multiply \( 3.14\times1\times8 \).
\( 3.14\times1\times8=3.14\times8 = 25.12\)

Step4: Round to the nearest tenth

The number \( 25.12 \) rounded to the nearest tenth is \( 25.1 \) (since the digit in the hundredths place is 2, which is less than 5, we keep the tenths place digit as it is).

Answer:

\( 25.1 \)