Sure, let's solve this step by step.

1. First, we need to convert the volume from mL to cm^3 because the radius is given in cm. 1 mL is equal to 1 cm^3, so V = 820 cm^3.

2. The formula for the volume of a cylinder is V = πr^2h. We can rearrange this formula to solve for h: h = V / (πr^2).

3. Now we can substitute the given values into the formula: h = 820 / (π * 4^2).

4. Simplify the equation: h = 820 / (π * 16).

5. So, the height h of the can of cola is 820 / (16π) cm.

Question

Sure, let's solve this step by step.

1. First, we need to convert the volume from mL to cm^3 because the radius is given in cm. 1 mL is equal to 1 cm^3, so V = 820 cm^3.

2. The formula for the volume of a cylinder is V = πr^2h. We can rearrange this formula to solve for h: h = V / (πr^2).

3. Now we can substitute the given values into the formula: h = 820 / (π * 4^2).

4. Simplify the equation: h = 820 / (π * 16).

5. So, the height h of the can of cola is 820 / (16π) cm.

Knowee AI · Accepted Answer

Sure, let's solve this step by step.

1. First, we need to convert the volume from mL to cm^3 because the radius is given in cm. 1 mL is equal to 1 cm^3, so V = 820 cm^3.

2. The formula for the volume of a cylinder is V = πr^2h. We can rearrange this formula to solve for h: h = V / (πr^2).

3. Now we can substitute the given values into the formula: h = 820 / (π * 4^2).

4. Simplify the equation: h = 820 / (π * 16).

5. So, the height h of the can of cola is 820 / (16π) cm.

Use the formula 𝑉=𝜋𝑟2ℎ to find the height ℎ of a can of cola whose volume 𝑉 is 820mL and whose radius 𝑟 is 4cm.Give your answer exactly, type "pi" for 𝜋.