Question

lesson 8: surface area and volume 8: surface area and volume surface area and volume formulas the volume of a cylinder with a radius of 6 m and a height of 20 m. use 3.14 for π. a. 113 m cubed b. 2261 m cubed c. 720 m cubed d. 226 m cubed check answer

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 \( r = 6\space m \), \( h=20\space m \) and \( \pi = 3.14 \). Substituting these values into the formula, we get:
\( V=3.14\times(6)^{2}\times20 \)
First, calculate \( 6^{2}=36 \). Then the expression becomes \( V = 3.14\times36\times20 \)

Step3: Perform the multiplication

First, multiply \( 3.14\times36 = 113.04 \). Then multiply \( 113.04\times20=2260.8\approx2261 \) (when rounded to the nearest whole number)

Answer:

b. 2261 m cubed