Mathematics, 31.03.2020 04:20 TrystinMarie2344

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.

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Answer from: iwantcandy2002

1. An equation to find the radius, r, in terms of V and h is $r = \sqrt{\frac{V}{\pi h} }$

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

Given the following data:

Volume of can = 66 cubic inches.Height of can = 3.3 inches.

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:

$V = \pi r^2h$

Making r the subject of formula, we have:

$r = \sqrt{\frac{V}{\pi h} }$

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:

$r = \sqrt{\frac{66}{3.142 \times 3.3} }\\\\r=\sqrt{6.3654}$

Radius, r = 2.52 inches

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

$Diameter = 2 \times radius\\\\Diameter = 2 \times 2.52$

Diameter = 5.04 ≈ 5.0 inches.

Read more on volume of a cylinder here: link

Answer from: zoejacobs2002

The equation to find the radius, in terms of and is $r = \sqrt{\frac{V}{\pi h}}$ .

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 $V=\pi r^2h$

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;

$V=\pi r^2h$

So we can say that;

$r^2=\frac{V}{\pi h}\\\\r = \sqrt{\frac{V}{\pi h}}$

Hence The equation to find the radius, in terms of and is $r = \sqrt{\frac{V}{\pi h}}$ .

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 $V= 66\ in^3$ and $h =3.3\ in$

$r = \sqrt{\frac{V}{\pi h}}$

$r = \sqrt{\frac{66}{\pi \times 3.3}}\\\\r = 2.52\ in$

Now we know that;

Diameter is twice the radius.

So we get;

Diameter $d=2r=2\times2.52 =5.04\ in$

Rounding to nearest inch we get;

Diameter $d=5\ in$

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

Answer from: Quest

y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x y

0 0

1 -3

3 -9

-2 6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

Answer from: Quest

Ithink is a. true, but not sure

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The volume of a large can of tuna fish can be calculated using the formula V = πr2h. Write an equati...