Question

A can of soda can be modeled as a right cylinder Alexandra measures it’s radius 2.3cm and volume as 199 cubic centimeters find the height of the can in centimeters round your answer to the nearest tenth if necessary

Answer 1

To find the height of the soda can, use the formula for the volume of a cylinder and substitute the given values. Solve for the height to find that it is approximately 7.5 cm.

Step-by-step explanation:

To find the height of the can of soda, we can rearrange the equation for the volume of a cylinder: V = πr²h. Substitute the given values: radius = 2.3 cm and volume = 199 cm³. Solving for h, we have:

199 cm³ = 3.142 × (2.3 cm)² × h

Simplify the equation: 199 cm³ = 3.142 × 5.29 cm² × h

Divide both sides by 3.142 × 5.29 cm² to isolate h: h = 199 cm³ / (3.142 × 5.29 cm²)

Calculate h using a calculator: h ≈ 7.5 cm.