Q12. - Algebra 1

Question

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.

Find the height of a soup can if the area of the label is 302 square centimeters and the radius of the can is 4 centimeters. Round to the nearest whole number.

Step-by-Step Solution

Answer

The height of the soup is $12$ centimeters.

Step 1. Given information.

Area of the label is 302 square centimeters.

The radius of the can is 4 centimeters.

Step 2. Concept used.

The area of the soup can be evaluated by:

$\begin{array}{l}A=2\pi rh\\ \text{Where,}\\ r=\text{radius}\\ h=\text{height }\end{array}$

Step 3. To find the height of the soup.

According to the question,

$302=2\pi rh$

Substitute the value of $r$ and $\pi$.

$\begin{array}{l}302=2\pi rh\\ \Rightarrow 302=2\times 3.14\times 4\times h\\ \Rightarrow h=\frac{302}{2\times 3.14\times 4}\\ \Rightarrow h=12\end{array}$

Hence, the height of the soup is $12$ centimeters.