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

143 75 107 13 the answer
Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widt

Answer from: Quest

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

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