Q28. - Algebra 2

Question

The formula for the surface area of a cylinder with radius r and height h is $\pi$ times twice the product of the radius and height plus twice the product of $\pi$.and the square of the radius.

Write an equivalent expression using the Distributive Property.

Step-by-Step Solution

Answer

The expression is $2\pi r\left(h+r\right)$.

Step 1- Observe the expression 2 π r h + 2 π r 2

The expression contains some common variables and a number in both the terms. 

Step 2 – Use the observation and distributive property

By using the observation and distributive property $a\left(b+c\right)=ab+ac$, form the expression.

 

$2\pi r\left(h+r\right)$

Step 3- Make the conclusion

As the obtained expression is completely an alternate version of $2\pi rh+2\pi r^2$ so the expression $2\pi r\left(h+r\right)$ is the required expression.