The volume of a large can of tuna fish can be calculated using the formula V = πr2h. Write an equation to find the radius, r, in terms of V and h. Determine the diameter, to the nearest inch, of a large can of tuna fish that has a volume of 66 cubic inches and a height of 3.3 inches.

1. An equation to find the radius, r, in terms of V and h is

2. The diameter, to the nearest inch, of this large can of tuna fish is equal to 5.0 inches.

Given the following data:

1. To write an equation to find the radius, r, in terms of V and h:

Mathematically, the volume of a cylinder is given by this formula:

Making r the subject of formula, we have:

2. To determine the diameter, to the nearest inch, of this large can of tuna fish:

First of all, we would calculate the radius of this can as follows:

Radius, r = 2.52 inches

Now, we can determine the diameter, to the nearest inch:

Diameter = 5.04 ≈ 5.0 inches.

Read more on volume of a cylinder here: link

The equation to find the radius, in terms of and is .

The diameter of the large can of tuna fish  is 5 inches.

Step-by-step explanation:

Given:

volume of a large can of tuna fish

We need to write the equation to find the radius, in terms of and .

Also we need to find the the diameter, to the nearest inch with volume of 66 cubic inches and a height of 3.3 inches.

Solution:

Now We know that;

So we can say that;

Hence The equation to find the radius, in terms of and is .

Now we will find the diameter with volume of 66 cubic inches and a height of 3.3 inches.

So first we will find the radius by Substituting and

Now we know that;

Diameter is twice the radius.

So we get;

Diameter

Rounding to nearest inch we get;

Diameter

Hence The diameter of the large can of tuna fish  is 5 inches.

y=sec x is the correct answer

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